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Finding the Third Proportional to 104,872.50 and 227,241

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Solution

The third proportional to 104,872.50 and 227,241 is: 492,392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,872.50 : 227,241 = 227,241 : x
  2. Step 2: Convert to fraction form
    104,872.50/227,241 = 227,241/x
  3. Step 3: Cross multiply
    104,872.50x = 227,241 × 227,241
  4. Step 4: Simplify right side
    104,872.50x = 51,638,472,081
  5. Step 5: Solve for x
    x = 51,638,472,081/104,872.50
  6. Step 6: Final answer
    x = 492,392.88

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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.