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Finding the Third Proportional to 50,469.50 and 79,178.50

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Solution

The third proportional to 50,469.50 and 79,178.50 is: 124,218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,469.50 : 79,178.50 = 79,178.50 : x
  2. Step 2: Convert to fraction form
    50,469.50/79,178.50 = 79,178.50/x
  3. Step 3: Cross multiply
    50,469.50x = 79,178.50 × 79,178.50
  4. Step 4: Simplify right side
    50,469.50x = 6,269,234,862.25
  5. Step 5: Solve for x
    x = 6,269,234,862.25/50,469.50
  6. Step 6: Final answer
    x = 124,218.29

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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.