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Finding the Third Proportional to 67,978 and 149,088

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Solution

The third proportional to 67,978 and 149,088 is: 326,976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,978 : 149,088 = 149,088 : x
  2. Step 2: Convert to fraction form
    67,978/149,088 = 149,088/x
  3. Step 3: Cross multiply
    67,978x = 149,088 × 149,088
  4. Step 4: Simplify right side
    67,978x = 22,227,231,744
  5. Step 5: Solve for x
    x = 22,227,231,744/67,978
  6. Step 6: Final answer
    x = 326,976.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.