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Finding the Third Proportional to 58,060 and 86,864

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Solution

The third proportional to 58,060 and 86,864 is: 129,957.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,060 : 86,864 = 86,864 : x
  2. Step 2: Convert to fraction form
    58,060/86,864 = 86,864/x
  3. Step 3: Cross multiply
    58,060x = 86,864 × 86,864
  4. Step 4: Simplify right side
    58,060x = 7,545,354,496
  5. Step 5: Solve for x
    x = 7,545,354,496/58,060
  6. Step 6: Final answer
    x = 129,957.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.