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Finding the Third Proportional to 54,458 and 118,604.75

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Solution

The third proportional to 54,458 and 118,604.75 is: 258,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,458 : 118,604.75 = 118,604.75 : x
  2. Step 2: Convert to fraction form
    54,458/118,604.75 = 118,604.75/x
  3. Step 3: Cross multiply
    54,458x = 118,604.75 × 118,604.75
  4. Step 4: Simplify right side
    54,458x = 14,067,086,722.56
  5. Step 5: Solve for x
    x = 14,067,086,722.56/54,458
  6. Step 6: Final answer
    x = 258,310.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.