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Finding the Third Proportional to 54,454 and 111,212

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Solution

The third proportional to 54,454 and 111,212 is: 227,129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,454 : 111,212 = 111,212 : x
  2. Step 2: Convert to fraction form
    54,454/111,212 = 111,212/x
  3. Step 3: Cross multiply
    54,454x = 111,212 × 111,212
  4. Step 4: Simplify right side
    54,454x = 12,368,108,944
  5. Step 5: Solve for x
    x = 12,368,108,944/54,454
  6. Step 6: Final answer
    x = 227,129.48

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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.