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Finding the Third Proportional to 126,893 and 184,341

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Solution

The third proportional to 126,893 and 184,341 is: 267,797.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,893 : 184,341 = 184,341 : x
  2. Step 2: Convert to fraction form
    126,893/184,341 = 184,341/x
  3. Step 3: Cross multiply
    126,893x = 184,341 × 184,341
  4. Step 4: Simplify right side
    126,893x = 33,981,604,281
  5. Step 5: Solve for x
    x = 33,981,604,281/126,893
  6. Step 6: Final answer
    x = 267,797.31

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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.