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Finding the Third Proportional to 127.13 and 171.84

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Solution

The third proportional to 127.13 and 171.84 is: 232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.13 : 171.84 = 171.84 : x
  2. Step 2: Convert to fraction form
    127.13/171.84 = 171.84/x
  3. Step 3: Cross multiply
    127.13x = 171.84 × 171.84
  4. Step 4: Simplify right side
    127.13x = 29,530.27
  5. Step 5: Solve for x
    x = 29,530.27/127.13
  6. Step 6: Final answer
    x = 232.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.