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Finding the Third Proportional to 34,990 and 75,812

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Solution

The third proportional to 34,990 and 75,812 is: 164,260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,990 : 75,812 = 75,812 : x
  2. Step 2: Convert to fraction form
    34,990/75,812 = 75,812/x
  3. Step 3: Cross multiply
    34,990x = 75,812 × 75,812
  4. Step 4: Simplify right side
    34,990x = 5,747,459,344
  5. Step 5: Solve for x
    x = 5,747,459,344/34,990
  6. Step 6: Final answer
    x = 164,260.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.