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Finding the Third Proportional to 37,104 and 82,212

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Solution

The third proportional to 37,104 and 82,212 is: 182,158.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,104 : 82,212 = 82,212 : x
  2. Step 2: Convert to fraction form
    37,104/82,212 = 82,212/x
  3. Step 3: Cross multiply
    37,104x = 82,212 × 82,212
  4. Step 4: Simplify right side
    37,104x = 6,758,812,944
  5. Step 5: Solve for x
    x = 6,758,812,944/37,104
  6. Step 6: Final answer
    x = 182,158.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.