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Finding the Third Proportional to 127.13 and 175.22

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Solution

The third proportional to 127.13 and 175.22 is: 241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.13 : 175.22 = 175.22 : x
  2. Step 2: Convert to fraction form
    127.13/175.22 = 175.22/x
  3. Step 3: Cross multiply
    127.13x = 175.22 × 175.22
  4. Step 4: Simplify right side
    127.13x = 30,701.61
  5. Step 5: Solve for x
    x = 30,701.61/127.13
  6. Step 6: Final answer
    x = 241.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.