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Finding the Third Proportional to 52,568 and 113,885

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Solution

The third proportional to 52,568 and 113,885 is: 246,724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,568 : 113,885 = 113,885 : x
  2. Step 2: Convert to fraction form
    52,568/113,885 = 113,885/x
  3. Step 3: Cross multiply
    52,568x = 113,885 × 113,885
  4. Step 4: Simplify right side
    52,568x = 12,969,793,225
  5. Step 5: Solve for x
    x = 12,969,793,225/52,568
  6. Step 6: Final answer
    x = 246,724.11

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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.