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Finding the Third Proportional to 51,843.50 and 80,057

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Solution

The third proportional to 51,843.50 and 80,057 is: 123,624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,843.50 : 80,057 = 80,057 : x
  2. Step 2: Convert to fraction form
    51,843.50/80,057 = 80,057/x
  3. Step 3: Cross multiply
    51,843.50x = 80,057 × 80,057
  4. Step 4: Simplify right side
    51,843.50x = 6,409,123,249
  5. Step 5: Solve for x
    x = 6,409,123,249/51,843.50
  6. Step 6: Final answer
    x = 123,624.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.