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Finding the Third Proportional to 49,744.13 and 102,080.25

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Solution

The third proportional to 49,744.13 and 102,080.25 is: 209,479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,744.13 : 102,080.25 = 102,080.25 : x
  2. Step 2: Convert to fraction form
    49,744.13/102,080.25 = 102,080.25/x
  3. Step 3: Cross multiply
    49,744.13x = 102,080.25 × 102,080.25
  4. Step 4: Simplify right side
    49,744.13x = 10,420,377,440.06
  5. Step 5: Solve for x
    x = 10,420,377,440.06/49,744.13
  6. Step 6: Final answer
    x = 209,479.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.