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Finding the Third Proportional to 104,085 and 225,669

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Solution

The third proportional to 104,085 and 225,669 is: 489,277.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,085 : 225,669 = 225,669 : x
  2. Step 2: Convert to fraction form
    104,085/225,669 = 225,669/x
  3. Step 3: Cross multiply
    104,085x = 225,669 × 225,669
  4. Step 4: Simplify right side
    104,085x = 50,926,497,561
  5. Step 5: Solve for x
    x = 50,926,497,561/104,085
  6. Step 6: Final answer
    x = 489,277.97

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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.