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Finding the Third Proportional to 74,793.38 and 100,767.38

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Solution

The third proportional to 74,793.38 and 100,767.38 is: 135,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,793.38 : 100,767.38 = 100,767.38 : x
  2. Step 2: Convert to fraction form
    74,793.38/100,767.38 = 100,767.38/x
  3. Step 3: Cross multiply
    74,793.38x = 100,767.38 × 100,767.38
  4. Step 4: Simplify right side
    74,793.38x = 10,154,063,864.39
  5. Step 5: Solve for x
    x = 10,154,063,864.39/74,793.38
  6. Step 6: Final answer
    x = 135,761.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.