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Finding the Third Proportional to 77,571 and 167,016

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Solution

The third proportional to 77,571 and 167,016 is: 359,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,571 : 167,016 = 167,016 : x
  2. Step 2: Convert to fraction form
    77,571/167,016 = 167,016/x
  3. Step 3: Cross multiply
    77,571x = 167,016 × 167,016
  4. Step 4: Simplify right side
    77,571x = 27,894,344,256
  5. Step 5: Solve for x
    x = 27,894,344,256/77,571
  6. Step 6: Final answer
    x = 359,597.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.