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Finding the Third Proportional to 49,554 and 108,909

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Solution

The third proportional to 49,554 and 108,909 is: 239,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,554 : 108,909 = 108,909 : x
  2. Step 2: Convert to fraction form
    49,554/108,909 = 108,909/x
  3. Step 3: Cross multiply
    49,554x = 108,909 × 108,909
  4. Step 4: Simplify right side
    49,554x = 11,861,170,281
  5. Step 5: Solve for x
    x = 11,861,170,281/49,554
  6. Step 6: Final answer
    x = 239,358.48

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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.