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Finding the Third Proportional to 55,229 and 118,198

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Solution

The third proportional to 55,229 and 118,198 is: 252,960.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,229 : 118,198 = 118,198 : x
  2. Step 2: Convert to fraction form
    55,229/118,198 = 118,198/x
  3. Step 3: Cross multiply
    55,229x = 118,198 × 118,198
  4. Step 4: Simplify right side
    55,229x = 13,970,767,204
  5. Step 5: Solve for x
    x = 13,970,767,204/55,229
  6. Step 6: Final answer
    x = 252,960.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.