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Finding the Third Proportional to 81,233 and 168,967

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Solution

The third proportional to 81,233 and 168,967 is: 351,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,233 : 168,967 = 168,967 : x
  2. Step 2: Convert to fraction form
    81,233/168,967 = 168,967/x
  3. Step 3: Cross multiply
    81,233x = 168,967 × 168,967
  4. Step 4: Simplify right side
    81,233x = 28,549,847,089
  5. Step 5: Solve for x
    x = 28,549,847,089/81,233
  6. Step 6: Final answer
    x = 351,456.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.