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Finding the Third Proportional to 67,022 and 103,845

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Solution

The third proportional to 67,022 and 103,845 is: 160,899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,022 : 103,845 = 103,845 : x
  2. Step 2: Convert to fraction form
    67,022/103,845 = 103,845/x
  3. Step 3: Cross multiply
    67,022x = 103,845 × 103,845
  4. Step 4: Simplify right side
    67,022x = 10,783,784,025
  5. Step 5: Solve for x
    x = 10,783,784,025/67,022
  6. Step 6: Final answer
    x = 160,899.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.