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Finding the Third Proportional to 100,876 and 141,375

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Solution

The third proportional to 100,876 and 141,375 is: 198,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,876 : 141,375 = 141,375 : x
  2. Step 2: Convert to fraction form
    100,876/141,375 = 141,375/x
  3. Step 3: Cross multiply
    100,876x = 141,375 × 141,375
  4. Step 4: Simplify right side
    100,876x = 19,986,890,625
  5. Step 5: Solve for x
    x = 19,986,890,625/100,876
  6. Step 6: Final answer
    x = 198,133.26

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.