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Finding the Third Proportional to 84.44 and 131.19

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Solution

The third proportional to 84.44 and 131.19 is: 203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.44 : 131.19 = 131.19 : x
  2. Step 2: Convert to fraction form
    84.44/131.19 = 131.19/x
  3. Step 3: Cross multiply
    84.44x = 131.19 × 131.19
  4. Step 4: Simplify right side
    84.44x = 17,210.16
  5. Step 5: Solve for x
    x = 17,210.16/84.44
  6. Step 6: Final answer
    x = 203.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.