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Finding the Third Proportional to 85,162 and 179,144

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Solution

The third proportional to 85,162 and 179,144 is: 376,841.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,162 : 179,144 = 179,144 : x
  2. Step 2: Convert to fraction form
    85,162/179,144 = 179,144/x
  3. Step 3: Cross multiply
    85,162x = 179,144 × 179,144
  4. Step 4: Simplify right side
    85,162x = 32,092,572,736
  5. Step 5: Solve for x
    x = 32,092,572,736/85,162
  6. Step 6: Final answer
    x = 376,841.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.