$5k is high for monthly expenses. I rented a single bedroom in Manhattan for $1850 and you can save even more if you're willing to live with roommates.
I'm not sure what I can do to convince you I'm not lying, but consider that median household income is less than $100k in both SV and NY. If the average person can get by on <$100k, why wouldn't you be able to save tons of money if you're making $200k? I have friends getting by on $40k in NYC. Can you imagine how easy it is to save if you match your lifestyle to theirs?
Of course, it's not going to buy you a luxury lifestyle. But personally I'd rather maintain a high savings rate than live in a glitzy apartment and spend thousands on bottle service.