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Finding the Third Proportional to 81,976 and 193,438

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Solution

The third proportional to 81,976 and 193,438 is: 456,453.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,976 : 193,438 = 193,438 : x
  2. Step 2: Convert to fraction form
    81,976/193,438 = 193,438/x
  3. Step 3: Cross multiply
    81,976x = 193,438 × 193,438
  4. Step 4: Simplify right side
    81,976x = 37,418,259,844
  5. Step 5: Solve for x
    x = 37,418,259,844/81,976
  6. Step 6: Final answer
    x = 456,453.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.