‘Can a 16 yr old girl date a 27 yr old man with her parent’s consent? This is in Ohio.’
In nearly all states, statutory rape occurs when two people have sex, and one of them is over the age of 18, and the other is under 18. One of the aspects of a statutory crime (meaning that the crime is specifically defined by a statute), such as statutory rape, is that there are no exceptions, unless they are spelled out in that statute. It doesn’t matter if the sex was consensual, and it doesn’t matter if the parents approve. It’s still a crime, and the adult in the couple is likely to go to jail.
That said, you should certainly check the laws in Ohio, but it’s likely that they will be consistent with the norm.