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Finding the Third Proportional to 82.13 and 183.75

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Solution

The third proportional to 82.13 and 183.75 is: 411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.13 : 183.75 = 183.75 : x
  2. Step 2: Convert to fraction form
    82.13/183.75 = 183.75/x
  3. Step 3: Cross multiply
    82.13x = 183.75 × 183.75
  4. Step 4: Simplify right side
    82.13x = 33,764.06
  5. Step 5: Solve for x
    x = 33,764.06/82.13
  6. Step 6: Final answer
    x = 411.13

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.