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Finding the Third Proportional to 126,891 and 184,338

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Solution

The third proportional to 126,891 and 184,338 is: 267,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,891 : 184,338 = 184,338 : x
  2. Step 2: Convert to fraction form
    126,891/184,338 = 184,338/x
  3. Step 3: Cross multiply
    126,891x = 184,338 × 184,338
  4. Step 4: Simplify right side
    126,891x = 33,980,498,244
  5. Step 5: Solve for x
    x = 33,980,498,244/126,891
  6. Step 6: Final answer
    x = 267,792.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.