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Finding the Third Proportional to 37,812 and 82,254

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Solution

The third proportional to 37,812 and 82,254 is: 178,930.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,812 : 82,254 = 82,254 : x
  2. Step 2: Convert to fraction form
    37,812/82,254 = 82,254/x
  3. Step 3: Cross multiply
    37,812x = 82,254 × 82,254
  4. Step 4: Simplify right side
    37,812x = 6,765,720,516
  5. Step 5: Solve for x
    x = 6,765,720,516/37,812
  6. Step 6: Final answer
    x = 178,930.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.