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Finding the Third Proportional to 67,832 and 147,338

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Solution

The third proportional to 67,832 and 147,338 is: 320,033.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,832 : 147,338 = 147,338 : x
  2. Step 2: Convert to fraction form
    67,832/147,338 = 147,338/x
  3. Step 3: Cross multiply
    67,832x = 147,338 × 147,338
  4. Step 4: Simplify right side
    67,832x = 21,708,486,244
  5. Step 5: Solve for x
    x = 21,708,486,244/67,832
  6. Step 6: Final answer
    x = 320,033.11

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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.