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Finding the Third Proportional to 83,828.25 and 126,825

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Solution

The third proportional to 83,828.25 and 126,825 is: 191,875.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,828.25 : 126,825 = 126,825 : x
  2. Step 2: Convert to fraction form
    83,828.25/126,825 = 126,825/x
  3. Step 3: Cross multiply
    83,828.25x = 126,825 × 126,825
  4. Step 4: Simplify right side
    83,828.25x = 16,084,580,625
  5. Step 5: Solve for x
    x = 16,084,580,625/83,828.25
  6. Step 6: Final answer
    x = 191,875.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.