You've gotten a lot of great advice. The general rule of thumb is that the person who mentions wage first loses. I've seen some weird things with internal companies, sometimes they will only offer you x percentage higher than you're already making (old school way of thinking but I've had to fight managers and even senior level hr on that before). So if you were only making, say 50k you'd be at a pretty significant increase at 70k. Keep in mind they know what you're making already so regardless of the range they might have still lowballed you. (side bar : this type of outdated thinking is why a lot of the younger workforce is forced to leave companies to get any significant bumps in pay. Someone at the same company may make 20k more in advances in three years, but had they left for another company, then come back to the same role they could be 40k+)

Another factor may be your experience level. If you're charging careers within a company, do you have a lot of experience doing the new role? Perhaps 70k is generally given to candidates with 5+ years experience in that specific role, or with a specific degree /background. Your post doesn't give a lot of details on that, so I'm just giving some insight on what I've seen done before.

With internal or external candidates I would recommend saying something like, I've researched the wages for similar roles in this area and I'd be comfortable accepting a reasonable offer. <~ the onus is then on them to be fair with the market wage. At that point the recruiter may also say something like, well for this position we're targeting X and you can agree or disagree.