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Finding the Third Proportional to 86,561 and 129,496

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Solution

The third proportional to 86,561 and 129,496 is: 193,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,561 : 129,496 = 129,496 : x
  2. Step 2: Convert to fraction form
    86,561/129,496 = 129,496/x
  3. Step 3: Cross multiply
    86,561x = 129,496 × 129,496
  4. Step 4: Simplify right side
    86,561x = 16,769,214,016
  5. Step 5: Solve for x
    x = 16,769,214,016/86,561
  6. Step 6: Final answer
    x = 193,727.13

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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.