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Finding the Third Proportional to 67,311 and 104,212

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Solution

The third proportional to 67,311 and 104,212 is: 161,342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,311 : 104,212 = 104,212 : x
  2. Step 2: Convert to fraction form
    67,311/104,212 = 104,212/x
  3. Step 3: Cross multiply
    67,311x = 104,212 × 104,212
  4. Step 4: Simplify right side
    67,311x = 10,860,140,944
  5. Step 5: Solve for x
    x = 10,860,140,944/67,311
  6. Step 6: Final answer
    x = 161,342.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.