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Finding the Third Proportional to 95,839 and 150,035

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Solution

The third proportional to 95,839 and 150,035 is: 234,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,839 : 150,035 = 150,035 : x
  2. Step 2: Convert to fraction form
    95,839/150,035 = 150,035/x
  3. Step 3: Cross multiply
    95,839x = 150,035 × 150,035
  4. Step 4: Simplify right side
    95,839x = 22,510,501,225
  5. Step 5: Solve for x
    x = 22,510,501,225/95,839
  6. Step 6: Final answer
    x = 234,878.30

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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.