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Finding the Third Proportional to 126.38 and 164.94

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Solution

The third proportional to 126.38 and 164.94 is: 215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.38 : 164.94 = 164.94 : x
  2. Step 2: Convert to fraction form
    126.38/164.94 = 164.94/x
  3. Step 3: Cross multiply
    126.38x = 164.94 × 164.94
  4. Step 4: Simplify right side
    126.38x = 27,204.38
  5. Step 5: Solve for x
    x = 27,204.38/126.38
  6. Step 6: Final answer
    x = 215.27

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.