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Finding the Third Proportional to 49,474 and 107,972

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Solution

The third proportional to 49,474 and 107,972 is: 235,637.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,474 : 107,972 = 107,972 : x
  2. Step 2: Convert to fraction form
    49,474/107,972 = 107,972/x
  3. Step 3: Cross multiply
    49,474x = 107,972 × 107,972
  4. Step 4: Simplify right side
    49,474x = 11,657,952,784
  5. Step 5: Solve for x
    x = 11,657,952,784/49,474
  6. Step 6: Final answer
    x = 235,637.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.