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Finding the Third Proportional to 62,666 and 135,718

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Solution

The third proportional to 62,666 and 135,718 is: 293,929.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,666 : 135,718 = 135,718 : x
  2. Step 2: Convert to fraction form
    62,666/135,718 = 135,718/x
  3. Step 3: Cross multiply
    62,666x = 135,718 × 135,718
  4. Step 4: Simplify right side
    62,666x = 18,419,375,524
  5. Step 5: Solve for x
    x = 18,419,375,524/62,666
  6. Step 6: Final answer
    x = 293,929.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.