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Finding the Third Proportional to 95,198 and 133,725

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Solution

The third proportional to 95,198 and 133,725 is: 187,844.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,198 : 133,725 = 133,725 : x
  2. Step 2: Convert to fraction form
    95,198/133,725 = 133,725/x
  3. Step 3: Cross multiply
    95,198x = 133,725 × 133,725
  4. Step 4: Simplify right side
    95,198x = 17,882,375,625
  5. Step 5: Solve for x
    x = 17,882,375,625/95,198
  6. Step 6: Final answer
    x = 187,844.03

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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.