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Finding the Third Proportional to 62.88 and 123.31

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Solution

The third proportional to 62.88 and 123.31 is: 241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.88 : 123.31 = 123.31 : x
  2. Step 2: Convert to fraction form
    62.88/123.31 = 123.31/x
  3. Step 3: Cross multiply
    62.88x = 123.31 × 123.31
  4. Step 4: Simplify right side
    62.88x = 15,205.97
  5. Step 5: Solve for x
    x = 15,205.97/62.88
  6. Step 6: Final answer
    x = 241.84

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.