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How much are the property taxes? That will affect approval amount.
that approval amount looks high to me.
Well those are cheap property taxes. Is your income taxable or non-taxable (like social security or VA benefits)? Non-taxable income can be grossed up by 125% for quailfying purposes.
Even without grossing any income up, if you have good credit scores or some reserves, your debt to income ratio could qualify for the $172k sales price if the property taxes are only ~$720/year and you have about $720/mo in payments (car + credit cards).
Don't open up any new credit card accounts, continuing saving, and you should be fine.