Finding the Third Proportional to 77,598 and 117,972
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Solution
The third proportional to 77,598 and 117,972 is: 179,352.47
Step by Step Solution
- Step 1: Write the proportion equation
77,598 : 117,972 = 117,972 : x - Step 2: Convert to fraction form
77,598/117,972 = 117,972/x - Step 3: Cross multiply
77,598x = 117,972 × 117,972 - Step 4: Simplify right side
77,598x = 13,917,392,784 - Step 5: Solve for x
x = 13,917,392,784/77,598 - Step 6: Final answer
x = 179,352.47
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.