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Finding the Third Proportional to 89,923 and 192,968

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Solution

The third proportional to 89,923 and 192,968 is: 414,094.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,923 : 192,968 = 192,968 : x
  2. Step 2: Convert to fraction form
    89,923/192,968 = 192,968/x
  3. Step 3: Cross multiply
    89,923x = 192,968 × 192,968
  4. Step 4: Simplify right side
    89,923x = 37,236,649,024
  5. Step 5: Solve for x
    x = 37,236,649,024/89,923
  6. Step 6: Final answer
    x = 414,094.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.