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Finding the Third Proportional to 81,508 and 168,254

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Solution

The third proportional to 81,508 and 168,254 is: 347,320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,508 : 168,254 = 168,254 : x
  2. Step 2: Convert to fraction form
    81,508/168,254 = 168,254/x
  3. Step 3: Cross multiply
    81,508x = 168,254 × 168,254
  4. Step 4: Simplify right side
    81,508x = 28,309,408,516
  5. Step 5: Solve for x
    x = 28,309,408,516/81,508
  6. Step 6: Final answer
    x = 347,320.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.