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Finding the Third Proportional to 67,683 and 148,866

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Solution

The third proportional to 67,683 and 148,866 is: 327,424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,683 : 148,866 = 148,866 : x
  2. Step 2: Convert to fraction form
    67,683/148,866 = 148,866/x
  3. Step 3: Cross multiply
    67,683x = 148,866 × 148,866
  4. Step 4: Simplify right side
    67,683x = 22,161,085,956
  5. Step 5: Solve for x
    x = 22,161,085,956/67,683
  6. Step 6: Final answer
    x = 327,424.70

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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.