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Finding the Third Proportional to 83,852 and 126,858

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Solution

The third proportional to 83,852 and 126,858 is: 191,920.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,852 : 126,858 = 126,858 : x
  2. Step 2: Convert to fraction form
    83,852/126,858 = 126,858/x
  3. Step 3: Cross multiply
    83,852x = 126,858 × 126,858
  4. Step 4: Simplify right side
    83,852x = 16,092,952,164
  5. Step 5: Solve for x
    x = 16,092,952,164/83,852
  6. Step 6: Final answer
    x = 191,920.91

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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.