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Finding the Third Proportional to 88,653 and 132,667

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Solution

The third proportional to 88,653 and 132,667 is: 198,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,653 : 132,667 = 132,667 : x
  2. Step 2: Convert to fraction form
    88,653/132,667 = 132,667/x
  3. Step 3: Cross multiply
    88,653x = 132,667 × 132,667
  4. Step 4: Simplify right side
    88,653x = 17,600,532,889
  5. Step 5: Solve for x
    x = 17,600,532,889/88,653
  6. Step 6: Final answer
    x = 198,532.85

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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.