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Suppose that a biotech firm in Pittsburgh raised $$126$ million in an IPO. The firm received $$23$ per share, and the stock sold to the public for $$25$ per share. The firm's legal fees, SEC registration fees, and other out$-$of$-$pocket costs were $$315,000.$ The firm's stock price increased $17\mathrm{.}5$ percent on the first day. What was the total cost to the firm of issuing the securities$?$

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