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Finding the Third Proportional to 126,886 and 184,334

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Solution

The third proportional to 126,886 and 184,334 is: 267,791.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,886 : 184,334 = 184,334 : x
  2. Step 2: Convert to fraction form
    126,886/184,334 = 184,334/x
  3. Step 3: Cross multiply
    126,886x = 184,334 × 184,334
  4. Step 4: Simplify right side
    126,886x = 33,979,023,556
  5. Step 5: Solve for x
    x = 33,979,023,556/126,886
  6. Step 6: Final answer
    x = 267,791.75

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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.