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Finding the Third Proportional to 108,940 and 150,016

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Solution

The third proportional to 108,940 and 150,016 is: 206,579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,940 : 150,016 = 150,016 : x
  2. Step 2: Convert to fraction form
    108,940/150,016 = 150,016/x
  3. Step 3: Cross multiply
    108,940x = 150,016 × 150,016
  4. Step 4: Simplify right side
    108,940x = 22,504,800,256
  5. Step 5: Solve for x
    x = 22,504,800,256/108,940
  6. Step 6: Final answer
    x = 206,579.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.