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Finding the Third Proportional to 57,885 and 126,849

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Solution

The third proportional to 57,885 and 126,849 is: 277,976.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,885 : 126,849 = 126,849 : x
  2. Step 2: Convert to fraction form
    57,885/126,849 = 126,849/x
  3. Step 3: Cross multiply
    57,885x = 126,849 × 126,849
  4. Step 4: Simplify right side
    57,885x = 16,090,668,801
  5. Step 5: Solve for x
    x = 16,090,668,801/57,885
  6. Step 6: Final answer
    x = 277,976.48

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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.