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Finding the Third Proportional to 34,408 and 75,376

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Solution

The third proportional to 34,408 and 75,376 is: 165,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,408 : 75,376 = 75,376 : x
  2. Step 2: Convert to fraction form
    34,408/75,376 = 75,376/x
  3. Step 3: Cross multiply
    34,408x = 75,376 × 75,376
  4. Step 4: Simplify right side
    34,408x = 5,681,541,376
  5. Step 5: Solve for x
    x = 5,681,541,376/34,408
  6. Step 6: Final answer
    x = 165,122.69

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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.