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Finding the Third Proportional to 81,796 and 175,400

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Solution

The third proportional to 81,796 and 175,400 is: 376,120.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,796 : 175,400 = 175,400 : x
  2. Step 2: Convert to fraction form
    81,796/175,400 = 175,400/x
  3. Step 3: Cross multiply
    81,796x = 175,400 × 175,400
  4. Step 4: Simplify right side
    81,796x = 30,765,160,000
  5. Step 5: Solve for x
    x = 30,765,160,000/81,796
  6. Step 6: Final answer
    x = 376,120.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.