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Finding the Third Proportional to 43,771.50 and 72,229.50

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Solution

The third proportional to 43,771.50 and 72,229.50 is: 119,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,771.50 : 72,229.50 = 72,229.50 : x
  2. Step 2: Convert to fraction form
    43,771.50/72,229.50 = 72,229.50/x
  3. Step 3: Cross multiply
    43,771.50x = 72,229.50 × 72,229.50
  4. Step 4: Simplify right side
    43,771.50x = 5,217,100,670.25
  5. Step 5: Solve for x
    x = 5,217,100,670.25/43,771.50
  6. Step 6: Final answer
    x = 119,189.44

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.