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Finding the Third Proportional to 125.43 and 241.37

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Solution

The third proportional to 125.43 and 241.37 is: 464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.43 : 241.37 = 241.37 : x
  2. Step 2: Convert to fraction form
    125.43/241.37 = 241.37/x
  3. Step 3: Cross multiply
    125.43x = 241.37 × 241.37
  4. Step 4: Simplify right side
    125.43x = 58,257.18
  5. Step 5: Solve for x
    x = 58,257.18/125.43
  6. Step 6: Final answer
    x = 464.46

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.