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Finding the Third Proportional to 50,018 and 109,972

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Solution

The third proportional to 50,018 and 109,972 is: 241,789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,018 : 109,972 = 109,972 : x
  2. Step 2: Convert to fraction form
    50,018/109,972 = 109,972/x
  3. Step 3: Cross multiply
    50,018x = 109,972 × 109,972
  4. Step 4: Simplify right side
    50,018x = 12,093,840,784
  5. Step 5: Solve for x
    x = 12,093,840,784/50,018
  6. Step 6: Final answer
    x = 241,789.77

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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.