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Finding the Third Proportional to 64,192 and 132,474

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Solution

The third proportional to 64,192 and 132,474 is: 273,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,192 : 132,474 = 132,474 : x
  2. Step 2: Convert to fraction form
    64,192/132,474 = 132,474/x
  3. Step 3: Cross multiply
    64,192x = 132,474 × 132,474
  4. Step 4: Simplify right side
    64,192x = 17,549,360,676
  5. Step 5: Solve for x
    x = 17,549,360,676/64,192
  6. Step 6: Final answer
    x = 273,388.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.