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Finding the Third Proportional to 127.13 and 165.75

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Solution

The third proportional to 127.13 and 165.75 is: 216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.13 : 165.75 = 165.75 : x
  2. Step 2: Convert to fraction form
    127.13/165.75 = 165.75/x
  3. Step 3: Cross multiply
    127.13x = 165.75 × 165.75
  4. Step 4: Simplify right side
    127.13x = 27,473.06
  5. Step 5: Solve for x
    x = 27,473.06/127.13
  6. Step 6: Final answer
    x = 216.11

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.