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Finding the Third Proportional to 88,158 and 132,432

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Solution

The third proportional to 88,158 and 132,432 is: 198,940.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,158 : 132,432 = 132,432 : x
  2. Step 2: Convert to fraction form
    88,158/132,432 = 132,432/x
  3. Step 3: Cross multiply
    88,158x = 132,432 × 132,432
  4. Step 4: Simplify right side
    88,158x = 17,538,234,624
  5. Step 5: Solve for x
    x = 17,538,234,624/88,158
  6. Step 6: Final answer
    x = 198,940.93

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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.