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Finding the Third Proportional to 68,291 and 149,035

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Solution

The third proportional to 68,291 and 149,035 is: 325,246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,291 : 149,035 = 149,035 : x
  2. Step 2: Convert to fraction form
    68,291/149,035 = 149,035/x
  3. Step 3: Cross multiply
    68,291x = 149,035 × 149,035
  4. Step 4: Simplify right side
    68,291x = 22,211,431,225
  5. Step 5: Solve for x
    x = 22,211,431,225/68,291
  6. Step 6: Final answer
    x = 325,246.83

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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.