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Finding the Third Proportional to 50,617 and 109,972

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Solution

The third proportional to 50,617 and 109,972 is: 238,928.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,617 : 109,972 = 109,972 : x
  2. Step 2: Convert to fraction form
    50,617/109,972 = 109,972/x
  3. Step 3: Cross multiply
    50,617x = 109,972 × 109,972
  4. Step 4: Simplify right side
    50,617x = 12,093,840,784
  5. Step 5: Solve for x
    x = 12,093,840,784/50,617
  6. Step 6: Final answer
    x = 238,928.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.