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Finding the Third Proportional to 54,267 and 111,173

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Solution

The third proportional to 54,267 and 111,173 is: 227,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,267 : 111,173 = 111,173 : x
  2. Step 2: Convert to fraction form
    54,267/111,173 = 111,173/x
  3. Step 3: Cross multiply
    54,267x = 111,173 × 111,173
  4. Step 4: Simplify right side
    54,267x = 12,359,435,929
  5. Step 5: Solve for x
    x = 12,359,435,929/54,267
  6. Step 6: Final answer
    x = 227,752.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.