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Finding the Third Proportional to 57,877 and 126,260

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Solution

The third proportional to 57,877 and 126,260 is: 275,439.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,877 : 126,260 = 126,260 : x
  2. Step 2: Convert to fraction form
    57,877/126,260 = 126,260/x
  3. Step 3: Cross multiply
    57,877x = 126,260 × 126,260
  4. Step 4: Simplify right side
    57,877x = 15,941,587,600
  5. Step 5: Solve for x
    x = 15,941,587,600/57,877
  6. Step 6: Final answer
    x = 275,439.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.