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Finding the Third Proportional to 57,723 and 126,137

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Solution

The third proportional to 57,723 and 126,137 is: 275,636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,723 : 126,137 = 126,137 : x
  2. Step 2: Convert to fraction form
    57,723/126,137 = 126,137/x
  3. Step 3: Cross multiply
    57,723x = 126,137 × 126,137
  4. Step 4: Simplify right side
    57,723x = 15,910,542,769
  5. Step 5: Solve for x
    x = 15,910,542,769/57,723
  6. Step 6: Final answer
    x = 275,636.10

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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.