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Finding the Third Proportional to 66,002 and 108,351

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Solution

The third proportional to 66,002 and 108,351 is: 177,872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,002 : 108,351 = 108,351 : x
  2. Step 2: Convert to fraction form
    66,002/108,351 = 108,351/x
  3. Step 3: Cross multiply
    66,002x = 108,351 × 108,351
  4. Step 4: Simplify right side
    66,002x = 11,739,939,201
  5. Step 5: Solve for x
    x = 11,739,939,201/66,002
  6. Step 6: Final answer
    x = 177,872.48

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.