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Finding the Third Proportional to 62,708 and 133,921

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Solution

The third proportional to 62,708 and 133,921 is: 286,005.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,708 : 133,921 = 133,921 : x
  2. Step 2: Convert to fraction form
    62,708/133,921 = 133,921/x
  3. Step 3: Cross multiply
    62,708x = 133,921 × 133,921
  4. Step 4: Simplify right side
    62,708x = 17,934,834,241
  5. Step 5: Solve for x
    x = 17,934,834,241/62,708
  6. Step 6: Final answer
    x = 286,005.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.