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Finding the Third Proportional to 52,180 and 113,916

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Solution

The third proportional to 52,180 and 113,916 is: 248,694.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,180 : 113,916 = 113,916 : x
  2. Step 2: Convert to fraction form
    52,180/113,916 = 113,916/x
  3. Step 3: Cross multiply
    52,180x = 113,916 × 113,916
  4. Step 4: Simplify right side
    52,180x = 12,976,855,056
  5. Step 5: Solve for x
    x = 12,976,855,056/52,180
  6. Step 6: Final answer
    x = 248,694.04

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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.