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Finding the Third Proportional to 39,126 and 85,542

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Solution

The third proportional to 39,126 and 85,542 is: 187,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,126 : 85,542 = 85,542 : x
  2. Step 2: Convert to fraction form
    39,126/85,542 = 85,542/x
  3. Step 3: Cross multiply
    39,126x = 85,542 × 85,542
  4. Step 4: Simplify right side
    39,126x = 7,317,433,764
  5. Step 5: Solve for x
    x = 7,317,433,764/39,126
  6. Step 6: Final answer
    x = 187,022.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.