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Finding the Third Proportional to 89,734.50 and 132,867

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Solution

The third proportional to 89,734.50 and 132,867 is: 196,731.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,734.50 : 132,867 = 132,867 : x
  2. Step 2: Convert to fraction form
    89,734.50/132,867 = 132,867/x
  3. Step 3: Cross multiply
    89,734.50x = 132,867 × 132,867
  4. Step 4: Simplify right side
    89,734.50x = 17,653,639,689
  5. Step 5: Solve for x
    x = 17,653,639,689/89,734.50
  6. Step 6: Final answer
    x = 196,731.91

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Why These Related Problems?

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