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Finding the Third Proportional to 135,250 and 195,923

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Solution

The third proportional to 135,250 and 195,923 is: 283,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,250 : 195,923 = 195,923 : x
  2. Step 2: Convert to fraction form
    135,250/195,923 = 195,923/x
  3. Step 3: Cross multiply
    135,250x = 195,923 × 195,923
  4. Step 4: Simplify right side
    135,250x = 38,385,821,929
  5. Step 5: Solve for x
    x = 38,385,821,929/135,250
  6. Step 6: Final answer
    x = 283,813.84

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.