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Finding the Third Proportional to 49,041 and 73,359

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Solution

The third proportional to 49,041 and 73,359 is: 109,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,041 : 73,359 = 73,359 : x
  2. Step 2: Convert to fraction form
    49,041/73,359 = 73,359/x
  3. Step 3: Cross multiply
    49,041x = 73,359 × 73,359
  4. Step 4: Simplify right side
    49,041x = 5,381,542,881
  5. Step 5: Solve for x
    x = 5,381,542,881/49,041
  6. Step 6: Final answer
    x = 109,735.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.