document.write( "Question 1140351: Three numbers are in G. P. Their sum is 43 and their product is 216. Find the numbers in
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Algebra.Com's Answer #760852 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "The three terms are a, ar and ar^2.\r\n" );
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document.write( "Their product is  a*ar*ar^2 = (ar)^3 = 216;\r\n" );
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document.write( "hence, ar =  = 6.\r\n" );
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document.write( "Thus the middle term of the progression is ar = 6.\r\n" );
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document.write( "3 seconds to guess two other terms: 1 and 36.\r\n" );
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document.write( "So, the progression is  1, 6, 36.\r\n" );
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document.write( "The reversed order  36, 6, 1  also works.\r\n" );
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