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Finding the Third Proportional to 40,503 and 60,759

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Solution

The third proportional to 40,503 and 60,759 is: 91,145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,503 : 60,759 = 60,759 : x
  2. Step 2: Convert to fraction form
    40,503/60,759 = 60,759/x
  3. Step 3: Cross multiply
    40,503x = 60,759 × 60,759
  4. Step 4: Simplify right side
    40,503x = 3,691,656,081
  5. Step 5: Solve for x
    x = 3,691,656,081/40,503
  6. Step 6: Final answer
    x = 91,145.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.