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Finding the Third Proportional to 80,905 and 126,638

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Solution

The third proportional to 80,905 and 126,638 is: 198,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,905 : 126,638 = 126,638 : x
  2. Step 2: Convert to fraction form
    80,905/126,638 = 126,638/x
  3. Step 3: Cross multiply
    80,905x = 126,638 × 126,638
  4. Step 4: Simplify right side
    80,905x = 16,037,183,044
  5. Step 5: Solve for x
    x = 16,037,183,044/80,905
  6. Step 6: Final answer
    x = 198,222.40

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