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Finding the Third Proportional to 31,186 and 68,936

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Solution

The third proportional to 31,186 and 68,936 is: 152,381.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,186 : 68,936 = 68,936 : x
  2. Step 2: Convert to fraction form
    31,186/68,936 = 68,936/x
  3. Step 3: Cross multiply
    31,186x = 68,936 × 68,936
  4. Step 4: Simplify right side
    31,186x = 4,752,172,096
  5. Step 5: Solve for x
    x = 4,752,172,096/31,186
  6. Step 6: Final answer
    x = 152,381.58

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.