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Finding the Third Proportional to 80,997.75 and 114,012

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Solution

The third proportional to 80,997.75 and 114,012 is: 160,482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,997.75 : 114,012 = 114,012 : x
  2. Step 2: Convert to fraction form
    80,997.75/114,012 = 114,012/x
  3. Step 3: Cross multiply
    80,997.75x = 114,012 × 114,012
  4. Step 4: Simplify right side
    80,997.75x = 12,998,736,144
  5. Step 5: Solve for x
    x = 12,998,736,144/80,997.75
  6. Step 6: Final answer
    x = 160,482.68

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.