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Finding the Third Proportional to 40,764 and 85,960.50

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Solution

The third proportional to 40,764 and 85,960.50 is: 181,267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,764 : 85,960.50 = 85,960.50 : x
  2. Step 2: Convert to fraction form
    40,764/85,960.50 = 85,960.50/x
  3. Step 3: Cross multiply
    40,764x = 85,960.50 × 85,960.50
  4. Step 4: Simplify right side
    40,764x = 7,389,207,560.25
  5. Step 5: Solve for x
    x = 7,389,207,560.25/40,764
  6. Step 6: Final answer
    x = 181,267.97

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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.