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Finding the Third Proportional to 75,118 and 159,812

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Solution

The third proportional to 75,118 and 159,812 is: 339,996.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,118 : 159,812 = 159,812 : x
  2. Step 2: Convert to fraction form
    75,118/159,812 = 159,812/x
  3. Step 3: Cross multiply
    75,118x = 159,812 × 159,812
  4. Step 4: Simplify right side
    75,118x = 25,539,875,344
  5. Step 5: Solve for x
    x = 25,539,875,344/75,118
  6. Step 6: Final answer
    x = 339,996.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.