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Finding the Third Proportional to 40,321.50 and 85,081.50

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Solution

The third proportional to 40,321.50 and 85,081.50 is: 179,528.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,321.50 : 85,081.50 = 85,081.50 : x
  2. Step 2: Convert to fraction form
    40,321.50/85,081.50 = 85,081.50/x
  3. Step 3: Cross multiply
    40,321.50x = 85,081.50 × 85,081.50
  4. Step 4: Simplify right side
    40,321.50x = 7,238,861,642.25
  5. Step 5: Solve for x
    x = 7,238,861,642.25/40,321.50
  6. Step 6: Final answer
    x = 179,528.58

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.