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Finding the Third Proportional to 89,419.50 and 132,591

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Solution

The third proportional to 89,419.50 and 132,591 is: 196,605.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,419.50 : 132,591 = 132,591 : x
  2. Step 2: Convert to fraction form
    89,419.50/132,591 = 132,591/x
  3. Step 3: Cross multiply
    89,419.50x = 132,591 × 132,591
  4. Step 4: Simplify right side
    89,419.50x = 17,580,373,281
  5. Step 5: Solve for x
    x = 17,580,373,281/89,419.50
  6. Step 6: Final answer
    x = 196,605.59

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.