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Finding the Third Proportional to 50,147.50 and 108,131.75

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Solution

The third proportional to 50,147.50 and 108,131.75 is: 233,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,147.50 : 108,131.75 = 108,131.75 : x
  2. Step 2: Convert to fraction form
    50,147.50/108,131.75 = 108,131.75/x
  3. Step 3: Cross multiply
    50,147.50x = 108,131.75 × 108,131.75
  4. Step 4: Simplify right side
    50,147.50x = 11,692,475,358.06
  5. Step 5: Solve for x
    x = 11,692,475,358.06/50,147.50
  6. Step 6: Final answer
    x = 233,161.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.