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Finding the Third Proportional to 40,268 and 88,589

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Solution

The third proportional to 40,268 and 88,589 is: 194,894.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,268 : 88,589 = 88,589 : x
  2. Step 2: Convert to fraction form
    40,268/88,589 = 88,589/x
  3. Step 3: Cross multiply
    40,268x = 88,589 × 88,589
  4. Step 4: Simplify right side
    40,268x = 7,848,010,921
  5. Step 5: Solve for x
    x = 7,848,010,921/40,268
  6. Step 6: Final answer
    x = 194,894.48

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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.