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Finding the Third Proportional to 54,383 and 111,694

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Solution

The third proportional to 54,383 and 111,694 is: 229,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,383 : 111,694 = 111,694 : x
  2. Step 2: Convert to fraction form
    54,383/111,694 = 111,694/x
  3. Step 3: Cross multiply
    54,383x = 111,694 × 111,694
  4. Step 4: Simplify right side
    54,383x = 12,475,549,636
  5. Step 5: Solve for x
    x = 12,475,549,636/54,383
  6. Step 6: Final answer
    x = 229,401.64

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