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Finding the Third Proportional to 110,923 and 181,107

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Solution

The third proportional to 110,923 and 181,107 is: 295,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,923 : 181,107 = 181,107 : x
  2. Step 2: Convert to fraction form
    110,923/181,107 = 181,107/x
  3. Step 3: Cross multiply
    110,923x = 181,107 × 181,107
  4. Step 4: Simplify right side
    110,923x = 32,799,745,449
  5. Step 5: Solve for x
    x = 32,799,745,449/110,923
  6. Step 6: Final answer
    x = 295,698.33

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.