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Finding the Third Proportional to 91,771.75 and 129,236.75

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Solution

The third proportional to 91,771.75 and 129,236.75 is: 181,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,771.75 : 129,236.75 = 129,236.75 : x
  2. Step 2: Convert to fraction form
    91,771.75/129,236.75 = 129,236.75/x
  3. Step 3: Cross multiply
    91,771.75x = 129,236.75 × 129,236.75
  4. Step 4: Simplify right side
    91,771.75x = 16,702,137,550.56
  5. Step 5: Solve for x
    x = 16,702,137,550.56/91,771.75
  6. Step 6: Final answer
    x = 181,996.50

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.