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Finding the Third Proportional to 88,589 and 132,884

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Solution

The third proportional to 88,589 and 132,884 is: 199,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,589 : 132,884 = 132,884 : x
  2. Step 2: Convert to fraction form
    88,589/132,884 = 132,884/x
  3. Step 3: Cross multiply
    88,589x = 132,884 × 132,884
  4. Step 4: Simplify right side
    88,589x = 17,658,157,456
  5. Step 5: Solve for x
    x = 17,658,157,456/88,589
  6. Step 6: Final answer
    x = 199,326.75

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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.