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Finding the Third Proportional to 75,906 and 160,812

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Solution

The third proportional to 75,906 and 160,812 is: 340,691.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,906 : 160,812 = 160,812 : x
  2. Step 2: Convert to fraction form
    75,906/160,812 = 160,812/x
  3. Step 3: Cross multiply
    75,906x = 160,812 × 160,812
  4. Step 4: Simplify right side
    75,906x = 25,860,499,344
  5. Step 5: Solve for x
    x = 25,860,499,344/75,906
  6. Step 6: Final answer
    x = 340,691.11

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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.