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Finding the Third Proportional to 57,112 and 126,463

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Solution

The third proportional to 57,112 and 126,463 is: 280,026.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,112 : 126,463 = 126,463 : x
  2. Step 2: Convert to fraction form
    57,112/126,463 = 126,463/x
  3. Step 3: Cross multiply
    57,112x = 126,463 × 126,463
  4. Step 4: Simplify right side
    57,112x = 15,992,890,369
  5. Step 5: Solve for x
    x = 15,992,890,369/57,112
  6. Step 6: Final answer
    x = 280,026.80

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.