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Finding the Third Proportional to 54,733 and 118,198

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Solution

The third proportional to 54,733 and 118,198 is: 255,253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,733 : 118,198 = 118,198 : x
  2. Step 2: Convert to fraction form
    54,733/118,198 = 118,198/x
  3. Step 3: Cross multiply
    54,733x = 118,198 × 118,198
  4. Step 4: Simplify right side
    54,733x = 13,970,767,204
  5. Step 5: Solve for x
    x = 13,970,767,204/54,733
  6. Step 6: Final answer
    x = 255,253.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.