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Finding the Third Proportional to 67,999.50 and 149,589

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Solution

The third proportional to 67,999.50 and 149,589 is: 329,074.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,999.50 : 149,589 = 149,589 : x
  2. Step 2: Convert to fraction form
    67,999.50/149,589 = 149,589/x
  3. Step 3: Cross multiply
    67,999.50x = 149,589 × 149,589
  4. Step 4: Simplify right side
    67,999.50x = 22,376,868,921
  5. Step 5: Solve for x
    x = 22,376,868,921/67,999.50
  6. Step 6: Final answer
    x = 329,074.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.