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Finding the Third Proportional to 52,622 and 113,996

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Solution

The third proportional to 52,622 and 113,996 is: 246,951.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,622 : 113,996 = 113,996 : x
  2. Step 2: Convert to fraction form
    52,622/113,996 = 113,996/x
  3. Step 3: Cross multiply
    52,622x = 113,996 × 113,996
  4. Step 4: Simplify right side
    52,622x = 12,995,088,016
  5. Step 5: Solve for x
    x = 12,995,088,016/52,622
  6. Step 6: Final answer
    x = 246,951.62

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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.