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Finding the Third Proportional to 52,227 and 113,760

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Solution

The third proportional to 52,227 and 113,760 is: 247,790.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,227 : 113,760 = 113,760 : x
  2. Step 2: Convert to fraction form
    52,227/113,760 = 113,760/x
  3. Step 3: Cross multiply
    52,227x = 113,760 × 113,760
  4. Step 4: Simplify right side
    52,227x = 12,941,337,600
  5. Step 5: Solve for x
    x = 12,941,337,600/52,227
  6. Step 6: Final answer
    x = 247,790.18

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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.