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Finding the Third Proportional to 100 and 135.13

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Solution

The third proportional to 100 and 135.13 is: 182.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100 : 135.13 = 135.13 : x
  2. Step 2: Convert to fraction form
    100/135.13 = 135.13/x
  3. Step 3: Cross multiply
    100x = 135.13 × 135.13
  4. Step 4: Simplify right side
    100x = 18,258.77
  5. Step 5: Solve for x
    x = 18,258.77/100
  6. Step 6: Final answer
    x = 182.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.