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Finding the Third Proportional to 95,881 and 150,081

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Solution

The third proportional to 95,881 and 150,081 is: 234,919.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,881 : 150,081 = 150,081 : x
  2. Step 2: Convert to fraction form
    95,881/150,081 = 150,081/x
  3. Step 3: Cross multiply
    95,881x = 150,081 × 150,081
  4. Step 4: Simplify right side
    95,881x = 22,524,306,561
  5. Step 5: Solve for x
    x = 22,524,306,561/95,881
  6. Step 6: Final answer
    x = 234,919.40

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Why These Related Problems?

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