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Finding the Third Proportional to 104,067.50 and 225,631.50

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Solution

The third proportional to 104,067.50 and 225,631.50 is: 489,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,067.50 : 225,631.50 = 225,631.50 : x
  2. Step 2: Convert to fraction form
    104,067.50/225,631.50 = 225,631.50/x
  3. Step 3: Cross multiply
    104,067.50x = 225,631.50 × 225,631.50
  4. Step 4: Simplify right side
    104,067.50x = 50,909,573,792.25
  5. Step 5: Solve for x
    x = 50,909,573,792.25/104,067.50
  6. Step 6: Final answer
    x = 489,197.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.