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Finding the Third Proportional to 66,174 and 155,049

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Solution

The third proportional to 66,174 and 155,049 is: 363,287.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,174 : 155,049 = 155,049 : x
  2. Step 2: Convert to fraction form
    66,174/155,049 = 155,049/x
  3. Step 3: Cross multiply
    66,174x = 155,049 × 155,049
  4. Step 4: Simplify right side
    66,174x = 24,040,192,401
  5. Step 5: Solve for x
    x = 24,040,192,401/66,174
  6. Step 6: Final answer
    x = 363,287.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.