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Finding the Third Proportional to 53,755 and 75,198

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Solution

The third proportional to 53,755 and 75,198 is: 105,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,755 : 75,198 = 75,198 : x
  2. Step 2: Convert to fraction form
    53,755/75,198 = 75,198/x
  3. Step 3: Cross multiply
    53,755x = 75,198 × 75,198
  4. Step 4: Simplify right side
    53,755x = 5,654,739,204
  5. Step 5: Solve for x
    x = 5,654,739,204/53,755
  6. Step 6: Final answer
    x = 105,194.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.