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Finding the Third Proportional to 126,181.69 and 193,949.44

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Solution

The third proportional to 126,181.69 and 193,949.44 is: 298,112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,181.69 : 193,949.44 = 193,949.44 : x
  2. Step 2: Convert to fraction form
    126,181.69/193,949.44 = 193,949.44/x
  3. Step 3: Cross multiply
    126,181.69x = 193,949.44 × 193,949.44
  4. Step 4: Simplify right side
    126,181.69x = 37,616,384,306.57
  5. Step 5: Solve for x
    x = 37,616,384,306.57/126,181.69
  6. Step 6: Final answer
    x = 298,112.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.