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Finding the Third Proportional to 57,376 and 125,762

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Solution

The third proportional to 57,376 and 125,762 is: 275,656.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,376 : 125,762 = 125,762 : x
  2. Step 2: Convert to fraction form
    57,376/125,762 = 125,762/x
  3. Step 3: Cross multiply
    57,376x = 125,762 × 125,762
  4. Step 4: Simplify right side
    57,376x = 15,816,080,644
  5. Step 5: Solve for x
    x = 15,816,080,644/57,376
  6. Step 6: Final answer
    x = 275,656.73

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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.