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Finding the Third Proportional to 82.13 and 123.19

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Solution

The third proportional to 82.13 and 123.19 is: 184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.13 : 123.19 = 123.19 : x
  2. Step 2: Convert to fraction form
    82.13/123.19 = 123.19/x
  3. Step 3: Cross multiply
    82.13x = 123.19 × 123.19
  4. Step 4: Simplify right side
    82.13x = 15,175.16
  5. Step 5: Solve for x
    x = 15,175.16/82.13
  6. Step 6: Final answer
    x = 184.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.