Finding the Third Proportional to 54,156 and 86,496
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Solution
The third proportional to 54,156 and 86,496 is: 138,148.28
Step by Step Solution
- Step 1: Write the proportion equation
54,156 : 86,496 = 86,496 : x - Step 2: Convert to fraction form
54,156/86,496 = 86,496/x - Step 3: Cross multiply
54,156x = 86,496 × 86,496 - Step 4: Simplify right side
54,156x = 7,481,558,016 - Step 5: Solve for x
x = 7,481,558,016/54,156 - Step 6: Final answer
x = 138,148.28
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Why These Related Problems?
These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.