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Finding the Third Proportional to 40,354 and 86,198

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Solution

The third proportional to 40,354 and 86,198 is: 184,122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,354 : 86,198 = 86,198 : x
  2. Step 2: Convert to fraction form
    40,354/86,198 = 86,198/x
  3. Step 3: Cross multiply
    40,354x = 86,198 × 86,198
  4. Step 4: Simplify right side
    40,354x = 7,430,095,204
  5. Step 5: Solve for x
    x = 7,430,095,204/40,354
  6. Step 6: Final answer
    x = 184,122.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.