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Finding the Third Proportional to 49,778.75 and 109,399

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Solution

The third proportional to 49,778.75 and 109,399 is: 240,426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,778.75 : 109,399 = 109,399 : x
  2. Step 2: Convert to fraction form
    49,778.75/109,399 = 109,399/x
  3. Step 3: Cross multiply
    49,778.75x = 109,399 × 109,399
  4. Step 4: Simplify right side
    49,778.75x = 11,968,141,201
  5. Step 5: Solve for x
    x = 11,968,141,201/49,778.75
  6. Step 6: Final answer
    x = 240,426.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.