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Finding the Third Proportional to 99,162 and 151,067.25

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Solution

The third proportional to 99,162 and 151,067.25 is: 230,141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,162 : 151,067.25 = 151,067.25 : x
  2. Step 2: Convert to fraction form
    99,162/151,067.25 = 151,067.25/x
  3. Step 3: Cross multiply
    99,162x = 151,067.25 × 151,067.25
  4. Step 4: Simplify right side
    99,162x = 22,821,314,022.56
  5. Step 5: Solve for x
    x = 22,821,314,022.56/99,162
  6. Step 6: Final answer
    x = 230,141.73

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.