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Finding the Third Proportional to 83,147 and 126,796

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Solution

The third proportional to 83,147 and 126,796 is: 193,359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,147 : 126,796 = 126,796 : x
  2. Step 2: Convert to fraction form
    83,147/126,796 = 126,796/x
  3. Step 3: Cross multiply
    83,147x = 126,796 × 126,796
  4. Step 4: Simplify right side
    83,147x = 16,077,225,616
  5. Step 5: Solve for x
    x = 16,077,225,616/83,147
  6. Step 6: Final answer
    x = 193,359.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.