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Finding the Third Proportional to 49,458 and 109,972

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Solution

The third proportional to 49,458 and 109,972 is: 244,527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,458 : 109,972 = 109,972 : x
  2. Step 2: Convert to fraction form
    49,458/109,972 = 109,972/x
  3. Step 3: Cross multiply
    49,458x = 109,972 × 109,972
  4. Step 4: Simplify right side
    49,458x = 12,093,840,784
  5. Step 5: Solve for x
    x = 12,093,840,784/49,458
  6. Step 6: Final answer
    x = 244,527.49

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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.