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Finding the Third Proportional to 51,134 and 77,493

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Solution

The third proportional to 51,134 and 77,493 is: 117,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,134 : 77,493 = 77,493 : x
  2. Step 2: Convert to fraction form
    51,134/77,493 = 77,493/x
  3. Step 3: Cross multiply
    51,134x = 77,493 × 77,493
  4. Step 4: Simplify right side
    51,134x = 6,005,165,049
  5. Step 5: Solve for x
    x = 6,005,165,049/51,134
  6. Step 6: Final answer
    x = 117,439.77

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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.