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Finding the Third Proportional to 54,525 and 111,054

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Solution

The third proportional to 54,525 and 111,054 is: 226,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,525 : 111,054 = 111,054 : x
  2. Step 2: Convert to fraction form
    54,525/111,054 = 111,054/x
  3. Step 3: Cross multiply
    54,525x = 111,054 × 111,054
  4. Step 4: Simplify right side
    54,525x = 12,332,990,916
  5. Step 5: Solve for x
    x = 12,332,990,916/54,525
  6. Step 6: Final answer
    x = 226,189.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.