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Finding the Third Proportional to 88,081 and 132,149

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Solution

The third proportional to 88,081 and 132,149 is: 198,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,081 : 132,149 = 132,149 : x
  2. Step 2: Convert to fraction form
    88,081/132,149 = 132,149/x
  3. Step 3: Cross multiply
    88,081x = 132,149 × 132,149
  4. Step 4: Simplify right side
    88,081x = 17,463,358,201
  5. Step 5: Solve for x
    x = 17,463,358,201/88,081
  6. Step 6: Final answer
    x = 198,264.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.