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Finding the Third Proportional to 83,829.38 and 126,827.44

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Solution

The third proportional to 83,829.38 and 126,827.44 is: 191,880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,829.38 : 126,827.44 = 126,827.44 : x
  2. Step 2: Convert to fraction form
    83,829.38/126,827.44 = 126,827.44/x
  3. Step 3: Cross multiply
    83,829.38x = 126,827.44 × 126,827.44
  4. Step 4: Simplify right side
    83,829.38x = 16,085,198,902.82
  5. Step 5: Solve for x
    x = 16,085,198,902.82/83,829.38
  6. Step 6: Final answer
    x = 191,880.22

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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.