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Finding the Third Proportional to 62,877 and 137,414

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Solution

The third proportional to 62,877 and 137,414 is: 300,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,877 : 137,414 = 137,414 : x
  2. Step 2: Convert to fraction form
    62,877/137,414 = 137,414/x
  3. Step 3: Cross multiply
    62,877x = 137,414 × 137,414
  4. Step 4: Simplify right side
    62,877x = 18,882,607,396
  5. Step 5: Solve for x
    x = 18,882,607,396/62,877
  6. Step 6: Final answer
    x = 300,310.25

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Why These Related Problems?

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