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Finding the Third Proportional to 87,812 and 186,074

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Solution

The third proportional to 87,812 and 186,074 is: 394,291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,812 : 186,074 = 186,074 : x
  2. Step 2: Convert to fraction form
    87,812/186,074 = 186,074/x
  3. Step 3: Cross multiply
    87,812x = 186,074 × 186,074
  4. Step 4: Simplify right side
    87,812x = 34,623,533,476
  5. Step 5: Solve for x
    x = 34,623,533,476/87,812
  6. Step 6: Final answer
    x = 394,291.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.