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Finding the Third Proportional to 104,873 and 227,241

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Solution

The third proportional to 104,873 and 227,241 is: 492,390.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,873 : 227,241 = 227,241 : x
  2. Step 2: Convert to fraction form
    104,873/227,241 = 227,241/x
  3. Step 3: Cross multiply
    104,873x = 227,241 × 227,241
  4. Step 4: Simplify right side
    104,873x = 51,638,472,081
  5. Step 5: Solve for x
    x = 51,638,472,081/104,873
  6. Step 6: Final answer
    x = 492,390.53

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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.