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Finding the Third Proportional to 36,134.86 and 77,794.17

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Solution

The third proportional to 36,134.86 and 77,794.17 is: 167,481.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,134.86 : 77,794.17 = 77,794.17 : x
  2. Step 2: Convert to fraction form
    36,134.86/77,794.17 = 77,794.17/x
  3. Step 3: Cross multiply
    36,134.86x = 77,794.17 × 77,794.17
  4. Step 4: Simplify right side
    36,134.86x = 6,051,933,177.72
  5. Step 5: Solve for x
    x = 6,051,933,177.72/36,134.86
  6. Step 6: Final answer
    x = 167,481.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.