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Finding the Third Proportional to 88,154 and 132,422

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Solution

The third proportional to 88,154 and 132,422 is: 198,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,154 : 132,422 = 132,422 : x
  2. Step 2: Convert to fraction form
    88,154/132,422 = 132,422/x
  3. Step 3: Cross multiply
    88,154x = 132,422 × 132,422
  4. Step 4: Simplify right side
    88,154x = 17,535,586,084
  5. Step 5: Solve for x
    x = 17,535,586,084/88,154
  6. Step 6: Final answer
    x = 198,919.91

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