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Finding the Third Proportional to 126.19 and 135.06

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Solution

The third proportional to 126.19 and 135.06 is: 144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.19 : 135.06 = 135.06 : x
  2. Step 2: Convert to fraction form
    126.19/135.06 = 135.06/x
  3. Step 3: Cross multiply
    126.19x = 135.06 × 135.06
  4. Step 4: Simplify right side
    126.19x = 18,241.88
  5. Step 5: Solve for x
    x = 18,241.88/126.19
  6. Step 6: Final answer
    x = 144.56

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.