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Finding the Third Proportional to 50,191.50 and 109,131

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Solution

The third proportional to 50,191.50 and 109,131 is: 237,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,191.50 : 109,131 = 109,131 : x
  2. Step 2: Convert to fraction form
    50,191.50/109,131 = 109,131/x
  3. Step 3: Cross multiply
    50,191.50x = 109,131 × 109,131
  4. Step 4: Simplify right side
    50,191.50x = 11,909,575,161
  5. Step 5: Solve for x
    x = 11,909,575,161/50,191.50
  6. Step 6: Final answer
    x = 237,282.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.