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Finding the Third Proportional to 67,333 and 147,782

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Solution

The third proportional to 67,333 and 147,782 is: 324,350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,333 : 147,782 = 147,782 : x
  2. Step 2: Convert to fraction form
    67,333/147,782 = 147,782/x
  3. Step 3: Cross multiply
    67,333x = 147,782 × 147,782
  4. Step 4: Simplify right side
    67,333x = 21,839,519,524
  5. Step 5: Solve for x
    x = 21,839,519,524/67,333
  6. Step 6: Final answer
    x = 324,350.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.