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Finding the Third Proportional to 50,586 and 72,866

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Solution

The third proportional to 50,586 and 72,866 is: 104,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,586 : 72,866 = 72,866 : x
  2. Step 2: Convert to fraction form
    50,586/72,866 = 72,866/x
  3. Step 3: Cross multiply
    50,586x = 72,866 × 72,866
  4. Step 4: Simplify right side
    50,586x = 5,309,453,956
  5. Step 5: Solve for x
    x = 5,309,453,956/50,586
  6. Step 6: Final answer
    x = 104,958.96

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.