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Finding the Third Proportional to 41,205.50 and 88,981

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Solution

The third proportional to 41,205.50 and 88,981 is: 192,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,205.50 : 88,981 = 88,981 : x
  2. Step 2: Convert to fraction form
    41,205.50/88,981 = 88,981/x
  3. Step 3: Cross multiply
    41,205.50x = 88,981 × 88,981
  4. Step 4: Simplify right side
    41,205.50x = 7,917,618,361
  5. Step 5: Solve for x
    x = 7,917,618,361/41,205.50
  6. Step 6: Final answer
    x = 192,149.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.