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Finding the Third Proportional to 49,344.19 and 71,221.78

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Solution

The third proportional to 49,344.19 and 71,221.78 is: 102,799.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344.19 : 71,221.78 = 71,221.78 : x
  2. Step 2: Convert to fraction form
    49,344.19/71,221.78 = 71,221.78/x
  3. Step 3: Cross multiply
    49,344.19x = 71,221.78 × 71,221.78
  4. Step 4: Simplify right side
    49,344.19x = 5,072,542,124.42
  5. Step 5: Solve for x
    x = 5,072,542,124.42/49,344.19
  6. Step 6: Final answer
    x = 102,799.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.