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Finding the Third Proportional to 85,215 and 179,241

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Solution

The third proportional to 85,215 and 179,241 is: 377,015.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,215 : 179,241 = 179,241 : x
  2. Step 2: Convert to fraction form
    85,215/179,241 = 179,241/x
  3. Step 3: Cross multiply
    85,215x = 179,241 × 179,241
  4. Step 4: Simplify right side
    85,215x = 32,127,336,081
  5. Step 5: Solve for x
    x = 32,127,336,081/85,215
  6. Step 6: Final answer
    x = 377,015.03

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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.