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Finding the Third Proportional to 57,474 and 126,126

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Solution

The third proportional to 57,474 and 126,126 is: 276,781.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,474 : 126,126 = 126,126 : x
  2. Step 2: Convert to fraction form
    57,474/126,126 = 126,126/x
  3. Step 3: Cross multiply
    57,474x = 126,126 × 126,126
  4. Step 4: Simplify right side
    57,474x = 15,907,767,876
  5. Step 5: Solve for x
    x = 15,907,767,876/57,474
  6. Step 6: Final answer
    x = 276,781.99

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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.