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Finding the Third Proportional to 135.56 and 184.03

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Solution

The third proportional to 135.56 and 184.03 is: 249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.56 : 184.03 = 184.03 : x
  2. Step 2: Convert to fraction form
    135.56/184.03 = 184.03/x
  3. Step 3: Cross multiply
    135.56x = 184.03 × 184.03
  4. Step 4: Simplify right side
    135.56x = 33,867.50
  5. Step 5: Solve for x
    x = 33,867.50/135.56
  6. Step 6: Final answer
    x = 249.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.