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Finding the Third Proportional to 49,171 and 73,805

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Solution

The third proportional to 49,171 and 73,805 is: 110,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,171 : 73,805 = 73,805 : x
  2. Step 2: Convert to fraction form
    49,171/73,805 = 73,805/x
  3. Step 3: Cross multiply
    49,171x = 73,805 × 73,805
  4. Step 4: Simplify right side
    49,171x = 5,447,178,025
  5. Step 5: Solve for x
    x = 5,447,178,025/49,171
  6. Step 6: Final answer
    x = 110,780.30

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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.