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Finding the Third Proportional to 94,002 and 143,976

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Solution

The third proportional to 94,002 and 143,976 is: 220,517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,002 : 143,976 = 143,976 : x
  2. Step 2: Convert to fraction form
    94,002/143,976 = 143,976/x
  3. Step 3: Cross multiply
    94,002x = 143,976 × 143,976
  4. Step 4: Simplify right side
    94,002x = 20,729,088,576
  5. Step 5: Solve for x
    x = 20,729,088,576/94,002
  6. Step 6: Final answer
    x = 220,517.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.