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Finding the Third Proportional to 50,744 and 108,112

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Solution

The third proportional to 50,744 and 108,112 is: 230,336.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,744 : 108,112 = 108,112 : x
  2. Step 2: Convert to fraction form
    50,744/108,112 = 108,112/x
  3. Step 3: Cross multiply
    50,744x = 108,112 × 108,112
  4. Step 4: Simplify right side
    50,744x = 11,688,204,544
  5. Step 5: Solve for x
    x = 11,688,204,544/50,744
  6. Step 6: Final answer
    x = 230,336.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.