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Finding the Third Proportional to 89,759.95 and 132,906.80

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Solution

The third proportional to 89,759.95 and 132,906.80 is: 196,793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,759.95 : 132,906.80 = 132,906.80 : x
  2. Step 2: Convert to fraction form
    89,759.95/132,906.80 = 132,906.80/x
  3. Step 3: Cross multiply
    89,759.95x = 132,906.80 × 132,906.80
  4. Step 4: Simplify right side
    89,759.95x = 17,664,216,655.57
  5. Step 5: Solve for x
    x = 17,664,216,655.57/89,759.95
  6. Step 6: Final answer
    x = 196,793.96

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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.