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Finding the Third Proportional to 73,933 and 108,266

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Solution

The third proportional to 73,933 and 108,266 is: 158,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,933 : 108,266 = 108,266 : x
  2. Step 2: Convert to fraction form
    73,933/108,266 = 108,266/x
  3. Step 3: Cross multiply
    73,933x = 108,266 × 108,266
  4. Step 4: Simplify right side
    73,933x = 11,721,526,756
  5. Step 5: Solve for x
    x = 11,721,526,756/73,933
  6. Step 6: Final answer
    x = 158,542.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.