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Finding the Third Proportional to 57,661 and 126,252

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Solution

The third proportional to 57,661 and 126,252 is: 276,435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,661 : 126,252 = 126,252 : x
  2. Step 2: Convert to fraction form
    57,661/126,252 = 126,252/x
  3. Step 3: Cross multiply
    57,661x = 126,252 × 126,252
  4. Step 4: Simplify right side
    57,661x = 15,939,567,504
  5. Step 5: Solve for x
    x = 15,939,567,504/57,661
  6. Step 6: Final answer
    x = 276,435.85

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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.