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Finding the Third Proportional to 31,016 and 68,956

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Solution

The third proportional to 31,016 and 68,956 is: 153,305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,016 : 68,956 = 68,956 : x
  2. Step 2: Convert to fraction form
    31,016/68,956 = 68,956/x
  3. Step 3: Cross multiply
    31,016x = 68,956 × 68,956
  4. Step 4: Simplify right side
    31,016x = 4,754,929,936
  5. Step 5: Solve for x
    x = 4,754,929,936/31,016
  6. Step 6: Final answer
    x = 153,305.71

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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.