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Finding the Third Proportional to 71,694 and 111,375

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Solution

The third proportional to 71,694 and 111,375 is: 173,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,694 : 111,375 = 111,375 : x
  2. Step 2: Convert to fraction form
    71,694/111,375 = 111,375/x
  3. Step 3: Cross multiply
    71,694x = 111,375 × 111,375
  4. Step 4: Simplify right side
    71,694x = 12,404,390,625
  5. Step 5: Solve for x
    x = 12,404,390,625/71,694
  6. Step 6: Final answer
    x = 173,018.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.