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Finding the Third Proportional to 34,742 and 75,757

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Solution

The third proportional to 34,742 and 75,757 is: 165,192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,742 : 75,757 = 75,757 : x
  2. Step 2: Convert to fraction form
    34,742/75,757 = 75,757/x
  3. Step 3: Cross multiply
    34,742x = 75,757 × 75,757
  4. Step 4: Simplify right side
    34,742x = 5,739,123,049
  5. Step 5: Solve for x
    x = 5,739,123,049/34,742
  6. Step 6: Final answer
    x = 165,192.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.