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Finding the Third Proportional to 50,277 and 105,450

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Solution

The third proportional to 50,277 and 105,450 is: 221,168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,277 : 105,450 = 105,450 : x
  2. Step 2: Convert to fraction form
    50,277/105,450 = 105,450/x
  3. Step 3: Cross multiply
    50,277x = 105,450 × 105,450
  4. Step 4: Simplify right side
    50,277x = 11,119,702,500
  5. Step 5: Solve for x
    x = 11,119,702,500/50,277
  6. Step 6: Final answer
    x = 221,168.77

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.