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Finding the Third Proportional to 41,206.50 and 89,757

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Solution

The third proportional to 41,206.50 and 89,757 is: 195,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,206.50 : 89,757 = 89,757 : x
  2. Step 2: Convert to fraction form
    41,206.50/89,757 = 89,757/x
  3. Step 3: Cross multiply
    41,206.50x = 89,757 × 89,757
  4. Step 4: Simplify right side
    41,206.50x = 8,056,319,049
  5. Step 5: Solve for x
    x = 8,056,319,049/41,206.50
  6. Step 6: Final answer
    x = 195,510.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.