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Finding the Third Proportional to 118,367 and 166,491

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Solution

The third proportional to 118,367 and 166,491 is: 234,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,367 : 166,491 = 166,491 : x
  2. Step 2: Convert to fraction form
    118,367/166,491 = 166,491/x
  3. Step 3: Cross multiply
    118,367x = 166,491 × 166,491
  4. Step 4: Simplify right side
    118,367x = 27,719,253,081
  5. Step 5: Solve for x
    x = 27,719,253,081/118,367
  6. Step 6: Final answer
    x = 234,180.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.