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Finding the Third Proportional to 114,517 and 150,589

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Solution

The third proportional to 114,517 and 150,589 is: 198,023.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,517 : 150,589 = 150,589 : x
  2. Step 2: Convert to fraction form
    114,517/150,589 = 150,589/x
  3. Step 3: Cross multiply
    114,517x = 150,589 × 150,589
  4. Step 4: Simplify right side
    114,517x = 22,677,046,921
  5. Step 5: Solve for x
    x = 22,677,046,921/114,517
  6. Step 6: Final answer
    x = 198,023.41

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.