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Finding the Third Proportional to 49,440.75 and 108,966

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Solution

The third proportional to 49,440.75 and 108,966 is: 240,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,440.75 : 108,966 = 108,966 : x
  2. Step 2: Convert to fraction form
    49,440.75/108,966 = 108,966/x
  3. Step 3: Cross multiply
    49,440.75x = 108,966 × 108,966
  4. Step 4: Simplify right side
    49,440.75x = 11,873,589,156
  5. Step 5: Solve for x
    x = 11,873,589,156/49,440.75
  6. Step 6: Final answer
    x = 240,157.95

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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.