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Finding the Third Proportional to 110,794.13 and 182,025.56

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Solution

The third proportional to 110,794.13 and 182,025.56 is: 299,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,794.13 : 182,025.56 = 182,025.56 : x
  2. Step 2: Convert to fraction form
    110,794.13/182,025.56 = 182,025.56/x
  3. Step 3: Cross multiply
    110,794.13x = 182,025.56 × 182,025.56
  4. Step 4: Simplify right side
    110,794.13x = 33,133,305,403.44
  5. Step 5: Solve for x
    x = 33,133,305,403.44/110,794.13
  6. Step 6: Final answer
    x = 299,052.91

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.