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Finding the Third Proportional to 66,665.50 and 140,825

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Solution

The third proportional to 66,665.50 and 140,825 is: 297,480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,665.50 : 140,825 = 140,825 : x
  2. Step 2: Convert to fraction form
    66,665.50/140,825 = 140,825/x
  3. Step 3: Cross multiply
    66,665.50x = 140,825 × 140,825
  4. Step 4: Simplify right side
    66,665.50x = 19,831,680,625
  5. Step 5: Solve for x
    x = 19,831,680,625/66,665.50
  6. Step 6: Final answer
    x = 297,480.42

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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.