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Finding the Third Proportional to 31,936 and 67,908

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Solution

The third proportional to 31,936 and 67,908 is: 144,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,936 : 67,908 = 67,908 : x
  2. Step 2: Convert to fraction form
    31,936/67,908 = 67,908/x
  3. Step 3: Cross multiply
    31,936x = 67,908 × 67,908
  4. Step 4: Simplify right side
    31,936x = 4,611,496,464
  5. Step 5: Solve for x
    x = 4,611,496,464/31,936
  6. Step 6: Final answer
    x = 144,398.06

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.