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Finding the Third Proportional to 75.56 and 164.88

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Solution

The third proportional to 75.56 and 164.88 is: 359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.56 : 164.88 = 164.88 : x
  2. Step 2: Convert to fraction form
    75.56/164.88 = 164.88/x
  3. Step 3: Cross multiply
    75.56x = 164.88 × 164.88
  4. Step 4: Simplify right side
    75.56x = 27,183.77
  5. Step 5: Solve for x
    x = 27,183.77/75.56
  6. Step 6: Final answer
    x = 359.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.