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Finding the Third Proportional to 87,428 and 189,542

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Solution

The third proportional to 87,428 and 189,542 is: 410,922.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,428 : 189,542 = 189,542 : x
  2. Step 2: Convert to fraction form
    87,428/189,542 = 189,542/x
  3. Step 3: Cross multiply
    87,428x = 189,542 × 189,542
  4. Step 4: Simplify right side
    87,428x = 35,926,169,764
  5. Step 5: Solve for x
    x = 35,926,169,764/87,428
  6. Step 6: Final answer
    x = 410,922.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.