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Finding the Third Proportional to 50,184.75 and 68,123.25

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Solution

The third proportional to 50,184.75 and 68,123.25 is: 92,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,184.75 : 68,123.25 = 68,123.25 : x
  2. Step 2: Convert to fraction form
    50,184.75/68,123.25 = 68,123.25/x
  3. Step 3: Cross multiply
    50,184.75x = 68,123.25 × 68,123.25
  4. Step 4: Simplify right side
    50,184.75x = 4,640,777,190.56
  5. Step 5: Solve for x
    x = 4,640,777,190.56/50,184.75
  6. Step 6: Final answer
    x = 92,473.85

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.