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Finding the Third Proportional to 95,067 and 132,912.75

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Solution

The third proportional to 95,067 and 132,912.75 is: 185,824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,067 : 132,912.75 = 132,912.75 : x
  2. Step 2: Convert to fraction form
    95,067/132,912.75 = 132,912.75/x
  3. Step 3: Cross multiply
    95,067x = 132,912.75 × 132,912.75
  4. Step 4: Simplify right side
    95,067x = 17,665,799,112.56
  5. Step 5: Solve for x
    x = 17,665,799,112.56/95,067
  6. Step 6: Final answer
    x = 185,824.72

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Why These Related Problems?

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