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Finding the Third Proportional to 66,566 and 100,542

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Solution

The third proportional to 66,566 and 100,542 is: 151,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,566 : 100,542 = 100,542 : x
  2. Step 2: Convert to fraction form
    66,566/100,542 = 100,542/x
  3. Step 3: Cross multiply
    66,566x = 100,542 × 100,542
  4. Step 4: Simplify right side
    66,566x = 10,108,693,764
  5. Step 5: Solve for x
    x = 10,108,693,764/66,566
  6. Step 6: Final answer
    x = 151,859.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.