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Finding the Third Proportional to 50,451.50 and 106,131

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Solution

The third proportional to 50,451.50 and 106,131 is: 223,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,451.50 : 106,131 = 106,131 : x
  2. Step 2: Convert to fraction form
    50,451.50/106,131 = 106,131/x
  3. Step 3: Cross multiply
    50,451.50x = 106,131 × 106,131
  4. Step 4: Simplify right side
    50,451.50x = 11,263,789,161
  5. Step 5: Solve for x
    x = 11,263,789,161/50,451.50
  6. Step 6: Final answer
    x = 223,259.75

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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.