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Finding the Third Proportional to 49,453 and 109,962

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Solution

The third proportional to 49,453 and 109,962 is: 244,507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,453 : 109,962 = 109,962 : x
  2. Step 2: Convert to fraction form
    49,453/109,962 = 109,962/x
  3. Step 3: Cross multiply
    49,453x = 109,962 × 109,962
  4. Step 4: Simplify right side
    49,453x = 12,091,641,444
  5. Step 5: Solve for x
    x = 12,091,641,444/49,453
  6. Step 6: Final answer
    x = 244,507.74

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.