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Finding the Third Proportional to 104,081 and 225,661

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Solution

The third proportional to 104,081 and 225,661 is: 489,262.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,081 : 225,661 = 225,661 : x
  2. Step 2: Convert to fraction form
    104,081/225,661 = 225,661/x
  3. Step 3: Cross multiply
    104,081x = 225,661 × 225,661
  4. Step 4: Simplify right side
    104,081x = 50,922,886,921
  5. Step 5: Solve for x
    x = 50,922,886,921/104,081
  6. Step 6: Final answer
    x = 489,262.08

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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.