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Finding the Third Proportional to 79.97 and 127.31

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Solution

The third proportional to 79.97 and 127.31 is: 202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.97 : 127.31 = 127.31 : x
  2. Step 2: Convert to fraction form
    79.97/127.31 = 127.31/x
  3. Step 3: Cross multiply
    79.97x = 127.31 × 127.31
  4. Step 4: Simplify right side
    79.97x = 16,208.85
  5. Step 5: Solve for x
    x = 16,208.85/79.97
  6. Step 6: Final answer
    x = 202.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.