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Finding the Third Proportional to 34,381 and 74,375

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Solution

The third proportional to 34,381 and 74,375 is: 160,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,381 : 74,375 = 74,375 : x
  2. Step 2: Convert to fraction form
    34,381/74,375 = 74,375/x
  3. Step 3: Cross multiply
    34,381x = 74,375 × 74,375
  4. Step 4: Simplify right side
    34,381x = 5,531,640,625
  5. Step 5: Solve for x
    x = 5,531,640,625/34,381
  6. Step 6: Final answer
    x = 160,892.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.