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Finding the Third Proportional to 42,771 and 93,744

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Solution

The third proportional to 42,771 and 93,744 is: 205,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,771 : 93,744 = 93,744 : x
  2. Step 2: Convert to fraction form
    42,771/93,744 = 93,744/x
  3. Step 3: Cross multiply
    42,771x = 93,744 × 93,744
  4. Step 4: Simplify right side
    42,771x = 8,787,937,536
  5. Step 5: Solve for x
    x = 8,787,937,536/42,771
  6. Step 6: Final answer
    x = 205,464.86

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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.