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Finding the Third Proportional to 126.44 and 162.06

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Solution

The third proportional to 126.44 and 162.06 is: 207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.44 : 162.06 = 162.06 : x
  2. Step 2: Convert to fraction form
    126.44/162.06 = 162.06/x
  3. Step 3: Cross multiply
    126.44x = 162.06 × 162.06
  4. Step 4: Simplify right side
    126.44x = 26,264.25
  5. Step 5: Solve for x
    x = 26,264.25/126.44
  6. Step 6: Final answer
    x = 207.73

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.