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Finding the Third Proportional to 87,744 and 141,306

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Solution

The third proportional to 87,744 and 141,306 is: 227,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,744 : 141,306 = 141,306 : x
  2. Step 2: Convert to fraction form
    87,744/141,306 = 141,306/x
  3. Step 3: Cross multiply
    87,744x = 141,306 × 141,306
  4. Step 4: Simplify right side
    87,744x = 19,967,385,636
  5. Step 5: Solve for x
    x = 19,967,385,636/87,744
  6. Step 6: Final answer
    x = 227,564.11

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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.