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Finding the Third Proportional to 73,934 and 113,757

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Solution

The third proportional to 73,934 and 113,757 is: 175,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,934 : 113,757 = 113,757 : x
  2. Step 2: Convert to fraction form
    73,934/113,757 = 113,757/x
  3. Step 3: Cross multiply
    73,934x = 113,757 × 113,757
  4. Step 4: Simplify right side
    73,934x = 12,940,655,049
  5. Step 5: Solve for x
    x = 12,940,655,049/73,934
  6. Step 6: Final answer
    x = 175,029.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.