Finding the Third Proportional to 77,646 and 116,349
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Solution
The third proportional to 77,646 and 116,349 is: 174,343.69
Step by Step Solution
- Step 1: Write the proportion equation
77,646 : 116,349 = 116,349 : x - Step 2: Convert to fraction form
77,646/116,349 = 116,349/x - Step 3: Cross multiply
77,646x = 116,349 × 116,349 - Step 4: Simplify right side
77,646x = 13,537,089,801 - Step 5: Solve for x
x = 13,537,089,801/77,646 - Step 6: Final answer
x = 174,343.69
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.