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Finding the Third Proportional to 34,406 and 75,374

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Solution

The third proportional to 34,406 and 75,374 is: 165,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,406 : 75,374 = 75,374 : x
  2. Step 2: Convert to fraction form
    34,406/75,374 = 75,374/x
  3. Step 3: Cross multiply
    34,406x = 75,374 × 75,374
  4. Step 4: Simplify right side
    34,406x = 5,681,239,876
  5. Step 5: Solve for x
    x = 5,681,239,876/34,406
  6. Step 6: Final answer
    x = 165,123.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.