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Finding the Third Proportional to 142,730 and 187,727

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Solution

The third proportional to 142,730 and 187,727 is: 246,909.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,730 : 187,727 = 187,727 : x
  2. Step 2: Convert to fraction form
    142,730/187,727 = 187,727/x
  3. Step 3: Cross multiply
    142,730x = 187,727 × 187,727
  4. Step 4: Simplify right side
    142,730x = 35,241,426,529
  5. Step 5: Solve for x
    x = 35,241,426,529/142,730
  6. Step 6: Final answer
    x = 246,909.74

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.