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Finding the Third Proportional to 113.25 and 184.13

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Solution

The third proportional to 113.25 and 184.13 is: 299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.25 : 184.13 = 184.13 : x
  2. Step 2: Convert to fraction form
    113.25/184.13 = 184.13/x
  3. Step 3: Cross multiply
    113.25x = 184.13 × 184.13
  4. Step 4: Simplify right side
    113.25x = 33,902.02
  5. Step 5: Solve for x
    x = 33,902.02/113.25
  6. Step 6: Final answer
    x = 299.36

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.