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Finding the Third Proportional to 42,642 and 93,744

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Solution

The third proportional to 42,642 and 93,744 is: 206,086.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,642 : 93,744 = 93,744 : x
  2. Step 2: Convert to fraction form
    42,642/93,744 = 93,744/x
  3. Step 3: Cross multiply
    42,642x = 93,744 × 93,744
  4. Step 4: Simplify right side
    42,642x = 8,787,937,536
  5. Step 5: Solve for x
    x = 8,787,937,536/42,642
  6. Step 6: Final answer
    x = 206,086.43

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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.