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Finding the Third Proportional to 41,834 and 87,974

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Solution

The third proportional to 41,834 and 87,974 is: 185,003.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,834 : 87,974 = 87,974 : x
  2. Step 2: Convert to fraction form
    41,834/87,974 = 87,974/x
  3. Step 3: Cross multiply
    41,834x = 87,974 × 87,974
  4. Step 4: Simplify right side
    41,834x = 7,739,424,676
  5. Step 5: Solve for x
    x = 7,739,424,676/41,834
  6. Step 6: Final answer
    x = 185,003.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.