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Finding the Third Proportional to 31,740 and 75,198

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Solution

The third proportional to 31,740 and 75,198 is: 178,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,740 : 75,198 = 75,198 : x
  2. Step 2: Convert to fraction form
    31,740/75,198 = 75,198/x
  3. Step 3: Cross multiply
    31,740x = 75,198 × 75,198
  4. Step 4: Simplify right side
    31,740x = 5,654,739,204
  5. Step 5: Solve for x
    x = 5,654,739,204/31,740
  6. Step 6: Final answer
    x = 178,158.13

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.