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Finding the Third Proportional to 51,843 and 111,054

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Solution

The third proportional to 51,843 and 111,054 is: 237,891.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,843 : 111,054 = 111,054 : x
  2. Step 2: Convert to fraction form
    51,843/111,054 = 111,054/x
  3. Step 3: Cross multiply
    51,843x = 111,054 × 111,054
  4. Step 4: Simplify right side
    51,843x = 12,332,990,916
  5. Step 5: Solve for x
    x = 12,332,990,916/51,843
  6. Step 6: Final answer
    x = 237,891.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.