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Finding the Third Proportional to 81,745 and 173,879

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Solution

The third proportional to 81,745 and 173,879 is: 369,856.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,745 : 173,879 = 173,879 : x
  2. Step 2: Convert to fraction form
    81,745/173,879 = 173,879/x
  3. Step 3: Cross multiply
    81,745x = 173,879 × 173,879
  4. Step 4: Simplify right side
    81,745x = 30,233,906,641
  5. Step 5: Solve for x
    x = 30,233,906,641/81,745
  6. Step 6: Final answer
    x = 369,856.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.