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Finding the Third Proportional to 60,702 and 123,811

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Solution

The third proportional to 60,702 and 123,811 is: 252,531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,702 : 123,811 = 123,811 : x
  2. Step 2: Convert to fraction form
    60,702/123,811 = 123,811/x
  3. Step 3: Cross multiply
    60,702x = 123,811 × 123,811
  4. Step 4: Simplify right side
    60,702x = 15,329,163,721
  5. Step 5: Solve for x
    x = 15,329,163,721/60,702
  6. Step 6: Final answer
    x = 252,531.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.