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Finding the Third Proportional to 43,459 and 91,589

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Solution

The third proportional to 43,459 and 91,589 is: 193,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,459 : 91,589 = 91,589 : x
  2. Step 2: Convert to fraction form
    43,459/91,589 = 91,589/x
  3. Step 3: Cross multiply
    43,459x = 91,589 × 91,589
  4. Step 4: Simplify right side
    43,459x = 8,388,544,921
  5. Step 5: Solve for x
    x = 8,388,544,921/43,459
  6. Step 6: Final answer
    x = 193,022.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.