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Finding the Third Proportional to 81,080.25 and 176,922.75

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Solution

The third proportional to 81,080.25 and 176,922.75 is: 386,057.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,080.25 : 176,922.75 = 176,922.75 : x
  2. Step 2: Convert to fraction form
    81,080.25/176,922.75 = 176,922.75/x
  3. Step 3: Cross multiply
    81,080.25x = 176,922.75 × 176,922.75
  4. Step 4: Simplify right side
    81,080.25x = 31,301,659,467.56
  5. Step 5: Solve for x
    x = 31,301,659,467.56/81,080.25
  6. Step 6: Final answer
    x = 386,057.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.