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Finding the Third Proportional to 50,896.69 and 79,253.44

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Solution

The third proportional to 50,896.69 and 79,253.44 is: 123,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,896.69 : 79,253.44 = 79,253.44 : x
  2. Step 2: Convert to fraction form
    50,896.69/79,253.44 = 79,253.44/x
  3. Step 3: Cross multiply
    50,896.69x = 79,253.44 × 79,253.44
  4. Step 4: Simplify right side
    50,896.69x = 6,281,107,355.57
  5. Step 5: Solve for x
    x = 6,281,107,355.57/50,896.69
  6. Step 6: Final answer
    x = 123,408.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.