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Finding the Third Proportional to 67,881 and 149,144

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Solution

The third proportional to 67,881 and 149,144 is: 327,690.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,881 : 149,144 = 149,144 : x
  2. Step 2: Convert to fraction form
    67,881/149,144 = 149,144/x
  3. Step 3: Cross multiply
    67,881x = 149,144 × 149,144
  4. Step 4: Simplify right side
    67,881x = 22,243,932,736
  5. Step 5: Solve for x
    x = 22,243,932,736/67,881
  6. Step 6: Final answer
    x = 327,690.12

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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.