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Finding the Third Proportional to 67,551 and 105,966

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Solution

The third proportional to 67,551 and 105,966 is: 166,226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,551 : 105,966 = 105,966 : x
  2. Step 2: Convert to fraction form
    67,551/105,966 = 105,966/x
  3. Step 3: Cross multiply
    67,551x = 105,966 × 105,966
  4. Step 4: Simplify right side
    67,551x = 11,228,793,156
  5. Step 5: Solve for x
    x = 11,228,793,156/67,551
  6. Step 6: Final answer
    x = 166,226.90

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.