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Finding the Third Proportional to 84,341 and 126,255

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Solution

The third proportional to 84,341 and 126,255 is: 188,998.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,341 : 126,255 = 126,255 : x
  2. Step 2: Convert to fraction form
    84,341/126,255 = 126,255/x
  3. Step 3: Cross multiply
    84,341x = 126,255 × 126,255
  4. Step 4: Simplify right side
    84,341x = 15,940,325,025
  5. Step 5: Solve for x
    x = 15,940,325,025/84,341
  6. Step 6: Final answer
    x = 188,998.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.