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Finding the Third Proportional to 36,926 and 81,233

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Solution

The third proportional to 36,926 and 81,233 is: 178,703.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,926 : 81,233 = 81,233 : x
  2. Step 2: Convert to fraction form
    36,926/81,233 = 81,233/x
  3. Step 3: Cross multiply
    36,926x = 81,233 × 81,233
  4. Step 4: Simplify right side
    36,926x = 6,598,800,289
  5. Step 5: Solve for x
    x = 6,598,800,289/36,926
  6. Step 6: Final answer
    x = 178,703.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.