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Finding the Third Proportional to 67,883 and 149,149

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Solution

The third proportional to 67,883 and 149,149 is: 327,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,883 : 149,149 = 149,149 : x
  2. Step 2: Convert to fraction form
    67,883/149,149 = 149,149/x
  3. Step 3: Cross multiply
    67,883x = 149,149 × 149,149
  4. Step 4: Simplify right side
    67,883x = 22,245,424,201
  5. Step 5: Solve for x
    x = 22,245,424,201/67,883
  6. Step 6: Final answer
    x = 327,702.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.