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Finding the Third Proportional to 49,453 and 108,734

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Solution

The third proportional to 49,453 and 108,734 is: 239,077.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,453 : 108,734 = 108,734 : x
  2. Step 2: Convert to fraction form
    49,453/108,734 = 108,734/x
  3. Step 3: Cross multiply
    49,453x = 108,734 × 108,734
  4. Step 4: Simplify right side
    49,453x = 11,823,082,756
  5. Step 5: Solve for x
    x = 11,823,082,756/49,453
  6. Step 6: Final answer
    x = 239,077.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.