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Finding the Third Proportional to 67,105.69 and 146,019.94

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Solution

The third proportional to 67,105.69 and 146,019.94 is: 317,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,105.69 : 146,019.94 = 146,019.94 : x
  2. Step 2: Convert to fraction form
    67,105.69/146,019.94 = 146,019.94/x
  3. Step 3: Cross multiply
    67,105.69x = 146,019.94 × 146,019.94
  4. Step 4: Simplify right side
    67,105.69x = 21,321,822,147.50
  5. Step 5: Solve for x
    x = 21,321,822,147.50/67,105.69
  6. Step 6: Final answer
    x = 317,734.95

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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.