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Finding the Third Proportional to 65,883.38 and 143,692.73

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Solution

The third proportional to 65,883.38 and 143,692.73 is: 313,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,883.38 : 143,692.73 = 143,692.73 : x
  2. Step 2: Convert to fraction form
    65,883.38/143,692.73 = 143,692.73/x
  3. Step 3: Cross multiply
    65,883.38x = 143,692.73 × 143,692.73
  4. Step 4: Simplify right side
    65,883.38x = 20,647,601,912.16
  5. Step 5: Solve for x
    x = 20,647,601,912.16/65,883.38
  6. Step 6: Final answer
    x = 313,396.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.