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Finding the Third Proportional to 95,892 and 150,099

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Solution

The third proportional to 95,892 and 150,099 is: 234,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,892 : 150,099 = 150,099 : x
  2. Step 2: Convert to fraction form
    95,892/150,099 = 150,099/x
  3. Step 3: Cross multiply
    95,892x = 150,099 × 150,099
  4. Step 4: Simplify right side
    95,892x = 22,529,709,801
  5. Step 5: Solve for x
    x = 22,529,709,801/95,892
  6. Step 6: Final answer
    x = 234,948.79

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.