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Finding the Third Proportional to 57,659 and 126,668

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Solution

The third proportional to 57,659 and 126,668 is: 278,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,659 : 126,668 = 126,668 : x
  2. Step 2: Convert to fraction form
    57,659/126,668 = 126,668/x
  3. Step 3: Cross multiply
    57,659x = 126,668 × 126,668
  4. Step 4: Simplify right side
    57,659x = 16,044,782,224
  5. Step 5: Solve for x
    x = 16,044,782,224/57,659
  6. Step 6: Final answer
    x = 278,270.21

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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.