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Finding the Third Proportional to 90,812 and 185,634

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Solution

The third proportional to 90,812 and 185,634 is: 379,465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,812 : 185,634 = 185,634 : x
  2. Step 2: Convert to fraction form
    90,812/185,634 = 185,634/x
  3. Step 3: Cross multiply
    90,812x = 185,634 × 185,634
  4. Step 4: Simplify right side
    90,812x = 34,459,981,956
  5. Step 5: Solve for x
    x = 34,459,981,956/90,812
  6. Step 6: Final answer
    x = 379,465.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.