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Finding the Third Proportional to 62,660 and 137,727

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Solution

The third proportional to 62,660 and 137,727 is: 302,724.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,660 : 137,727 = 137,727 : x
  2. Step 2: Convert to fraction form
    62,660/137,727 = 137,727/x
  3. Step 3: Cross multiply
    62,660x = 137,727 × 137,727
  4. Step 4: Simplify right side
    62,660x = 18,968,726,529
  5. Step 5: Solve for x
    x = 18,968,726,529/62,660
  6. Step 6: Final answer
    x = 302,724.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.