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Finding the Third Proportional to 75,589 and 164,993

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Solution

The third proportional to 75,589 and 164,993 is: 360,140.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,589 : 164,993 = 164,993 : x
  2. Step 2: Convert to fraction form
    75,589/164,993 = 164,993/x
  3. Step 3: Cross multiply
    75,589x = 164,993 × 164,993
  4. Step 4: Simplify right side
    75,589x = 27,222,690,049
  5. Step 5: Solve for x
    x = 27,222,690,049/75,589
  6. Step 6: Final answer
    x = 360,140.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.