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Finding the Third Proportional to 85,169.25 and 179,166

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Solution

The third proportional to 85,169.25 and 179,166 is: 376,901.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,169.25 : 179,166 = 179,166 : x
  2. Step 2: Convert to fraction form
    85,169.25/179,166 = 179,166/x
  3. Step 3: Cross multiply
    85,169.25x = 179,166 × 179,166
  4. Step 4: Simplify right side
    85,169.25x = 32,100,455,556
  5. Step 5: Solve for x
    x = 32,100,455,556/85,169.25
  6. Step 6: Final answer
    x = 376,901.94

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