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Finding the Third Proportional to 106.13 and 182.81

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Solution

The third proportional to 106.13 and 182.81 is: 314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.13 : 182.81 = 182.81 : x
  2. Step 2: Convert to fraction form
    106.13/182.81 = 182.81/x
  3. Step 3: Cross multiply
    106.13x = 182.81 × 182.81
  4. Step 4: Simplify right side
    106.13x = 33,420.41
  5. Step 5: Solve for x
    x = 33,420.41/106.13
  6. Step 6: Final answer
    x = 314.92

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.