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Finding the Third Proportional to 87,350 and 137,829

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Solution

The third proportional to 87,350 and 137,829 is: 217,479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,350 : 137,829 = 137,829 : x
  2. Step 2: Convert to fraction form
    87,350/137,829 = 137,829/x
  3. Step 3: Cross multiply
    87,350x = 137,829 × 137,829
  4. Step 4: Simplify right side
    87,350x = 18,996,833,241
  5. Step 5: Solve for x
    x = 18,996,833,241/87,350
  6. Step 6: Final answer
    x = 217,479.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.