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Finding the Third Proportional to 127.88 and 195.94

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Solution

The third proportional to 127.88 and 195.94 is: 300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.88 : 195.94 = 195.94 : x
  2. Step 2: Convert to fraction form
    127.88/195.94 = 195.94/x
  3. Step 3: Cross multiply
    127.88x = 195.94 × 195.94
  4. Step 4: Simplify right side
    127.88x = 38,391.50
  5. Step 5: Solve for x
    x = 38,391.50/127.88
  6. Step 6: Final answer
    x = 300.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.