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Finding the Third Proportional to 62,500 and 136,872

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Solution

The third proportional to 62,500 and 136,872 is: 299,743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,500 : 136,872 = 136,872 : x
  2. Step 2: Convert to fraction form
    62,500/136,872 = 136,872/x
  3. Step 3: Cross multiply
    62,500x = 136,872 × 136,872
  4. Step 4: Simplify right side
    62,500x = 18,733,944,384
  5. Step 5: Solve for x
    x = 18,733,944,384/62,500
  6. Step 6: Final answer
    x = 299,743.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.