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Finding the Third Proportional to 36,092 and 83,546

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Solution

The third proportional to 36,092 and 83,546 is: 193,392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,092 : 83,546 = 83,546 : x
  2. Step 2: Convert to fraction form
    36,092/83,546 = 83,546/x
  3. Step 3: Cross multiply
    36,092x = 83,546 × 83,546
  4. Step 4: Simplify right side
    36,092x = 6,979,934,116
  5. Step 5: Solve for x
    x = 6,979,934,116/36,092
  6. Step 6: Final answer
    x = 193,392.83

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.