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Finding the Third Proportional to 104,026.50 and 225,686

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Solution

The third proportional to 104,026.50 and 225,686 is: 489,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,026.50 : 225,686 = 225,686 : x
  2. Step 2: Convert to fraction form
    104,026.50/225,686 = 225,686/x
  3. Step 3: Cross multiply
    104,026.50x = 225,686 × 225,686
  4. Step 4: Simplify right side
    104,026.50x = 50,934,170,596
  5. Step 5: Solve for x
    x = 50,934,170,596/104,026.50
  6. Step 6: Final answer
    x = 489,626.88

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