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Finding the Third Proportional to 73,944 and 160,866

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Solution

The third proportional to 73,944 and 160,866 is: 349,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,944 : 160,866 = 160,866 : x
  2. Step 2: Convert to fraction form
    73,944/160,866 = 160,866/x
  3. Step 3: Cross multiply
    73,944x = 160,866 × 160,866
  4. Step 4: Simplify right side
    73,944x = 25,877,869,956
  5. Step 5: Solve for x
    x = 25,877,869,956/73,944
  6. Step 6: Final answer
    x = 349,965.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.