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Finding the Third Proportional to 62,508 and 136,884

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Solution

The third proportional to 62,508 and 136,884 is: 299,757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,508 : 136,884 = 136,884 : x
  2. Step 2: Convert to fraction form
    62,508/136,884 = 136,884/x
  3. Step 3: Cross multiply
    62,508x = 136,884 × 136,884
  4. Step 4: Simplify right side
    62,508x = 18,737,229,456
  5. Step 5: Solve for x
    x = 18,737,229,456/62,508
  6. Step 6: Final answer
    x = 299,757.30

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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.