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Finding the Third Proportional to 80,933.50 and 126,961

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Solution

The third proportional to 80,933.50 and 126,961 is: 199,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,933.50 : 126,961 = 126,961 : x
  2. Step 2: Convert to fraction form
    80,933.50/126,961 = 126,961/x
  3. Step 3: Cross multiply
    80,933.50x = 126,961 × 126,961
  4. Step 4: Simplify right side
    80,933.50x = 16,119,095,521
  5. Step 5: Solve for x
    x = 16,119,095,521/80,933.50
  6. Step 6: Final answer
    x = 199,164.69

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.