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Finding the Third Proportional to 67,812 and 141,819

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Solution

The third proportional to 67,812 and 141,819 is: 296,593.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,812 : 141,819 = 141,819 : x
  2. Step 2: Convert to fraction form
    67,812/141,819 = 141,819/x
  3. Step 3: Cross multiply
    67,812x = 141,819 × 141,819
  4. Step 4: Simplify right side
    67,812x = 20,112,628,761
  5. Step 5: Solve for x
    x = 20,112,628,761/67,812
  6. Step 6: Final answer
    x = 296,593.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.