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Finding the Third Proportional to 73,934 and 115,825

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Solution

The third proportional to 73,934 and 115,825 is: 181,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,934 : 115,825 = 115,825 : x
  2. Step 2: Convert to fraction form
    73,934/115,825 = 115,825/x
  3. Step 3: Cross multiply
    73,934x = 115,825 × 115,825
  4. Step 4: Simplify right side
    73,934x = 13,415,430,625
  5. Step 5: Solve for x
    x = 13,415,430,625/73,934
  6. Step 6: Final answer
    x = 181,451.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.