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Finding the Third Proportional to 66,401 and 143,872

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Solution

The third proportional to 66,401 and 143,872 is: 311,729.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,401 : 143,872 = 143,872 : x
  2. Step 2: Convert to fraction form
    66,401/143,872 = 143,872/x
  3. Step 3: Cross multiply
    66,401x = 143,872 × 143,872
  4. Step 4: Simplify right side
    66,401x = 20,699,152,384
  5. Step 5: Solve for x
    x = 20,699,152,384/66,401
  6. Step 6: Final answer
    x = 311,729.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.