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Finding the Third Proportional to 126,471 and 190,540.50

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Solution

The third proportional to 126,471 and 190,540.50 is: 287,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,471 : 190,540.50 = 190,540.50 : x
  2. Step 2: Convert to fraction form
    126,471/190,540.50 = 190,540.50/x
  3. Step 3: Cross multiply
    126,471x = 190,540.50 × 190,540.50
  4. Step 4: Simplify right side
    126,471x = 36,305,682,140.25
  5. Step 5: Solve for x
    x = 36,305,682,140.25/126,471
  6. Step 6: Final answer
    x = 287,067.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.