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Finding the Third Proportional to 60,347 and 91,493

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Solution

The third proportional to 60,347 and 91,493 is: 138,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,347 : 91,493 = 91,493 : x
  2. Step 2: Convert to fraction form
    60,347/91,493 = 91,493/x
  3. Step 3: Cross multiply
    60,347x = 91,493 × 91,493
  4. Step 4: Simplify right side
    60,347x = 8,370,969,049
  5. Step 5: Solve for x
    x = 8,370,969,049/60,347
  6. Step 6: Final answer
    x = 138,713.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.