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Finding the Third Proportional to 73,845 and 111,375

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Solution

The third proportional to 73,845 and 111,375 is: 167,978.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,845 : 111,375 = 111,375 : x
  2. Step 2: Convert to fraction form
    73,845/111,375 = 111,375/x
  3. Step 3: Cross multiply
    73,845x = 111,375 × 111,375
  4. Step 4: Simplify right side
    73,845x = 12,404,390,625
  5. Step 5: Solve for x
    x = 12,404,390,625/73,845
  6. Step 6: Final answer
    x = 167,978.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.