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Finding the Third Proportional to 57,234 and 76,419

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Solution

The third proportional to 57,234 and 76,419 is: 102,034.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,234 : 76,419 = 76,419 : x
  2. Step 2: Convert to fraction form
    57,234/76,419 = 76,419/x
  3. Step 3: Cross multiply
    57,234x = 76,419 × 76,419
  4. Step 4: Simplify right side
    57,234x = 5,839,863,561
  5. Step 5: Solve for x
    x = 5,839,863,561/57,234
  6. Step 6: Final answer
    x = 102,034.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.