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Finding the Third Proportional to 41,751.50 and 84,960.50

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Solution

The third proportional to 41,751.50 and 84,960.50 is: 172,886.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,751.50 : 84,960.50 = 84,960.50 : x
  2. Step 2: Convert to fraction form
    41,751.50/84,960.50 = 84,960.50/x
  3. Step 3: Cross multiply
    41,751.50x = 84,960.50 × 84,960.50
  4. Step 4: Simplify right side
    41,751.50x = 7,218,286,560.25
  5. Step 5: Solve for x
    x = 7,218,286,560.25/41,751.50
  6. Step 6: Final answer
    x = 172,886.88

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.