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Finding the Third Proportional to 85.43 and 131.94

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Solution

The third proportional to 85.43 and 131.94 is: 203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.43 : 131.94 = 131.94 : x
  2. Step 2: Convert to fraction form
    85.43/131.94 = 131.94/x
  3. Step 3: Cross multiply
    85.43x = 131.94 × 131.94
  4. Step 4: Simplify right side
    85.43x = 17,408.53
  5. Step 5: Solve for x
    x = 17,408.53/85.43
  6. Step 6: Final answer
    x = 203.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.