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Finding the Third Proportional to 120,175.13 and 188,512.31

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Solution

The third proportional to 120,175.13 and 188,512.31 is: 295,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,175.13 : 188,512.31 = 188,512.31 : x
  2. Step 2: Convert to fraction form
    120,175.13/188,512.31 = 188,512.31/x
  3. Step 3: Cross multiply
    120,175.13x = 188,512.31 × 188,512.31
  4. Step 4: Simplify right side
    120,175.13x = 35,536,891,964.10
  5. Step 5: Solve for x
    x = 35,536,891,964.10/120,175.13
  6. Step 6: Final answer
    x = 295,709.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.