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Finding the Third Proportional to 106,832.25 and 158,601.38

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Solution

The third proportional to 106,832.25 and 158,601.38 is: 235,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,832.25 : 158,601.38 = 158,601.38 : x
  2. Step 2: Convert to fraction form
    106,832.25/158,601.38 = 158,601.38/x
  3. Step 3: Cross multiply
    106,832.25x = 158,601.38 × 158,601.38
  4. Step 4: Simplify right side
    106,832.25x = 25,154,396,151.89
  5. Step 5: Solve for x
    x = 25,154,396,151.89/106,832.25
  6. Step 6: Final answer
    x = 235,456.95

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.