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Finding the Third Proportional to 75,709.13 and 110,809.69

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Solution

The third proportional to 75,709.13 and 110,809.69 is: 162,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,709.13 : 110,809.69 = 110,809.69 : x
  2. Step 2: Convert to fraction form
    75,709.13/110,809.69 = 110,809.69/x
  3. Step 3: Cross multiply
    75,709.13x = 110,809.69 × 110,809.69
  4. Step 4: Simplify right side
    75,709.13x = 12,278,786,843.85
  5. Step 5: Solve for x
    x = 12,278,786,843.85/75,709.13
  6. Step 6: Final answer
    x = 162,183.71

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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.