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Finding the Third Proportional to 51,976 and 110,864

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Solution

The third proportional to 51,976 and 110,864 is: 236,471.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,976 : 110,864 = 110,864 : x
  2. Step 2: Convert to fraction form
    51,976/110,864 = 110,864/x
  3. Step 3: Cross multiply
    51,976x = 110,864 × 110,864
  4. Step 4: Simplify right side
    51,976x = 12,290,826,496
  5. Step 5: Solve for x
    x = 12,290,826,496/51,976
  6. Step 6: Final answer
    x = 236,471.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.