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Finding the Third Proportional to 41,191 and 73,519

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Solution

The third proportional to 41,191 and 73,519 is: 131,219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,191 : 73,519 = 73,519 : x
  2. Step 2: Convert to fraction form
    41,191/73,519 = 73,519/x
  3. Step 3: Cross multiply
    41,191x = 73,519 × 73,519
  4. Step 4: Simplify right side
    41,191x = 5,405,043,361
  5. Step 5: Solve for x
    x = 5,405,043,361/41,191
  6. Step 6: Final answer
    x = 131,219.04

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.