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Finding the Third Proportional to 33,742 and 74,108

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Solution

The third proportional to 33,742 and 74,108 is: 162,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,742 : 74,108 = 74,108 : x
  2. Step 2: Convert to fraction form
    33,742/74,108 = 74,108/x
  3. Step 3: Cross multiply
    33,742x = 74,108 × 74,108
  4. Step 4: Simplify right side
    33,742x = 5,491,995,664
  5. Step 5: Solve for x
    x = 5,491,995,664/33,742
  6. Step 6: Final answer
    x = 162,764.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.