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Finding the Third Proportional to 89,066 and 192,181

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Solution

The third proportional to 89,066 and 192,181 is: 414,676.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,066 : 192,181 = 192,181 : x
  2. Step 2: Convert to fraction form
    89,066/192,181 = 192,181/x
  3. Step 3: Cross multiply
    89,066x = 192,181 × 192,181
  4. Step 4: Simplify right side
    89,066x = 36,933,536,761
  5. Step 5: Solve for x
    x = 36,933,536,761/89,066
  6. Step 6: Final answer
    x = 414,676.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.