@TavianBarnes to clarify I mean that if I should be making $60,000, the employer is offering between $90,000 to $120,000. These aren't the actual amounts just for illustrative purposes. I have edited my question for further clarification to: " the original job range was x + 30k to x + 60k <strong>more than someone of my experience should be making</strong> "

@JasonJ I don't believe this is a duplicate as that question requests how to calculate a salary the OP should reasonably ask for based on statistics and tools. While my question asks: given that I have already have a reasonable salary, but my potential employer is offering more than that amount, what is the best course of action (choosing my reasonable salary or the employer's generous range) with the most important thing being that I get the position.

@TavianBarnes you misread, I should be making x. The company is offering between 30k more than x to 60k more than x. So if I should be making $1 the company would be offering $30,001 to $60,001.

Yes, dates are on my resume. It's just that when I speak to HR people through linkedin/phone calls and tell them upfront that I have 1.5 years of experience the conversation is quickly proceeded by "we're looking for someone with more experience" vs if they figure it out themselves after I've talked to them about my experience they might say "well we usually take people with three or more years but for this case I think bla bla bla"