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Finding the Third Proportional to 71,474 and 151,012

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Solution

The third proportional to 71,474 and 151,012 is: 319,061.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,474 : 151,012 = 151,012 : x
  2. Step 2: Convert to fraction form
    71,474/151,012 = 151,012/x
  3. Step 3: Cross multiply
    71,474x = 151,012 × 151,012
  4. Step 4: Simplify right side
    71,474x = 22,804,624,144
  5. Step 5: Solve for x
    x = 22,804,624,144/71,474
  6. Step 6: Final answer
    x = 319,061.81

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.