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Finding the Third Proportional to 101.22 and 135.98

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Solution

The third proportional to 101.22 and 135.98 is: 182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.22 : 135.98 = 135.98 : x
  2. Step 2: Convert to fraction form
    101.22/135.98 = 135.98/x
  3. Step 3: Cross multiply
    101.22x = 135.98 × 135.98
  4. Step 4: Simplify right side
    101.22x = 18,491.75
  5. Step 5: Solve for x
    x = 18,491.75/101.22
  6. Step 6: Final answer
    x = 182.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.