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Finding the Third Proportional to 67,969 and 158,027

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Solution

The third proportional to 67,969 and 158,027 is: 367,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,969 : 158,027 = 158,027 : x
  2. Step 2: Convert to fraction form
    67,969/158,027 = 158,027/x
  3. Step 3: Cross multiply
    67,969x = 158,027 × 158,027
  4. Step 4: Simplify right side
    67,969x = 24,972,532,729
  5. Step 5: Solve for x
    x = 24,972,532,729/67,969
  6. Step 6: Final answer
    x = 367,410.62

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.