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Finding the Third Proportional to 54,934 and 105,493

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Solution

The third proportional to 54,934 and 105,493 is: 202,584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,934 : 105,493 = 105,493 : x
  2. Step 2: Convert to fraction form
    54,934/105,493 = 105,493/x
  3. Step 3: Cross multiply
    54,934x = 105,493 × 105,493
  4. Step 4: Simplify right side
    54,934x = 11,128,773,049
  5. Step 5: Solve for x
    x = 11,128,773,049/54,934
  6. Step 6: Final answer
    x = 202,584.43

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.