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Finding the Third Proportional to 87,681.38 and 141,213.38

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Solution

The third proportional to 87,681.38 and 141,213.38 is: 227,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,681.38 : 141,213.38 = 141,213.38 : x
  2. Step 2: Convert to fraction form
    87,681.38/141,213.38 = 141,213.38/x
  3. Step 3: Cross multiply
    87,681.38x = 141,213.38 × 141,213.38
  4. Step 4: Simplify right side
    87,681.38x = 19,941,217,278.89
  5. Step 5: Solve for x
    x = 19,941,217,278.89/87,681.38
  6. Step 6: Final answer
    x = 227,428.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.