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Finding the Third Proportional to 62,860 and 137,384

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Solution

The third proportional to 62,860 and 137,384 is: 300,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,860 : 137,384 = 137,384 : x
  2. Step 2: Convert to fraction form
    62,860/137,384 = 137,384/x
  3. Step 3: Cross multiply
    62,860x = 137,384 × 137,384
  4. Step 4: Simplify right side
    62,860x = 18,874,363,456
  5. Step 5: Solve for x
    x = 18,874,363,456/62,860
  6. Step 6: Final answer
    x = 300,260.32

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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.