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Finding the Third Proportional to 62,723 and 135,295

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Solution

The third proportional to 62,723 and 135,295 is: 291,834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,723 : 135,295 = 135,295 : x
  2. Step 2: Convert to fraction form
    62,723/135,295 = 135,295/x
  3. Step 3: Cross multiply
    62,723x = 135,295 × 135,295
  4. Step 4: Simplify right side
    62,723x = 18,304,737,025
  5. Step 5: Solve for x
    x = 18,304,737,025/62,723
  6. Step 6: Final answer
    x = 291,834.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.