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Finding the Third Proportional to 126.25 and 135.13

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Solution

The third proportional to 126.25 and 135.13 is: 144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.25 : 135.13 = 135.13 : x
  2. Step 2: Convert to fraction form
    126.25/135.13 = 135.13/x
  3. Step 3: Cross multiply
    126.25x = 135.13 × 135.13
  4. Step 4: Simplify right side
    126.25x = 18,258.77
  5. Step 5: Solve for x
    x = 18,258.77/126.25
  6. Step 6: Final answer
    x = 144.62

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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.