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Finding the Third Proportional to 76.13 and 164.42

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Solution

The third proportional to 76.13 and 164.42 is: 355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.13 : 164.42 = 164.42 : x
  2. Step 2: Convert to fraction form
    76.13/164.42 = 164.42/x
  3. Step 3: Cross multiply
    76.13x = 164.42 × 164.42
  4. Step 4: Simplify right side
    76.13x = 27,034.55
  5. Step 5: Solve for x
    x = 27,034.55/76.13
  6. Step 6: Final answer
    x = 355.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.