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Finding the Third Proportional to 72,872 and 171,956

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Solution

The third proportional to 72,872 and 171,956 is: 405,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,872 : 171,956 = 171,956 : x
  2. Step 2: Convert to fraction form
    72,872/171,956 = 171,956/x
  3. Step 3: Cross multiply
    72,872x = 171,956 × 171,956
  4. Step 4: Simplify right side
    72,872x = 29,568,865,936
  5. Step 5: Solve for x
    x = 29,568,865,936/72,872
  6. Step 6: Final answer
    x = 405,764.44

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.