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Finding the Third Proportional to 57,464 and 126,448

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Solution

The third proportional to 57,464 and 126,448 is: 278,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,464 : 126,448 = 126,448 : x
  2. Step 2: Convert to fraction form
    57,464/126,448 = 126,448/x
  3. Step 3: Cross multiply
    57,464x = 126,448 × 126,448
  4. Step 4: Simplify right side
    57,464x = 15,989,096,704
  5. Step 5: Solve for x
    x = 15,989,096,704/57,464
  6. Step 6: Final answer
    x = 278,245.45

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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.