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Finding the Third Proportional to 31,182 and 67,956

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Solution

The third proportional to 31,182 and 67,956 is: 148,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,182 : 67,956 = 67,956 : x
  2. Step 2: Convert to fraction form
    31,182/67,956 = 67,956/x
  3. Step 3: Cross multiply
    31,182x = 67,956 × 67,956
  4. Step 4: Simplify right side
    31,182x = 4,618,017,936
  5. Step 5: Solve for x
    x = 4,618,017,936/31,182
  6. Step 6: Final answer
    x = 148,098.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.