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Finding the Third Proportional to 80,904 and 126,637

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Solution

The third proportional to 80,904 and 126,637 is: 198,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,904 : 126,637 = 126,637 : x
  2. Step 2: Convert to fraction form
    80,904/126,637 = 126,637/x
  3. Step 3: Cross multiply
    80,904x = 126,637 × 126,637
  4. Step 4: Simplify right side
    80,904x = 16,036,929,769
  5. Step 5: Solve for x
    x = 16,036,929,769/80,904
  6. Step 6: Final answer
    x = 198,221.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.