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Finding the Third Proportional to 131,067 and 196,132.50

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Solution

The third proportional to 131,067 and 196,132.50 is: 293,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,067 : 196,132.50 = 196,132.50 : x
  2. Step 2: Convert to fraction form
    131,067/196,132.50 = 196,132.50/x
  3. Step 3: Cross multiply
    131,067x = 196,132.50 × 196,132.50
  4. Step 4: Simplify right side
    131,067x = 38,467,957,556.25
  5. Step 5: Solve for x
    x = 38,467,957,556.25/131,067
  6. Step 6: Final answer
    x = 293,498.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.