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Finding the Third Proportional to 87,812 and 141,414

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Solution

The third proportional to 87,812 and 141,414 is: 227,735.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,812 : 141,414 = 141,414 : x
  2. Step 2: Convert to fraction form
    87,812/141,414 = 141,414/x
  3. Step 3: Cross multiply
    87,812x = 141,414 × 141,414
  4. Step 4: Simplify right side
    87,812x = 19,997,919,396
  5. Step 5: Solve for x
    x = 19,997,919,396/87,812
  6. Step 6: Final answer
    x = 227,735.61

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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.