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Finding the Third Proportional to 50,654 and 110,227

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Solution

The third proportional to 50,654 and 110,227 is: 239,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,654 : 110,227 = 110,227 : x
  2. Step 2: Convert to fraction form
    50,654/110,227 = 110,227/x
  3. Step 3: Cross multiply
    50,654x = 110,227 × 110,227
  4. Step 4: Simplify right side
    50,654x = 12,149,991,529
  5. Step 5: Solve for x
    x = 12,149,991,529/50,654
  6. Step 6: Final answer
    x = 239,862.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.