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Finding the Third Proportional to 85.97 and 94.17

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Solution

The third proportional to 85.97 and 94.17 is: 103.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.97 : 94.17 = 94.17 : x
  2. Step 2: Convert to fraction form
    85.97/94.17 = 94.17/x
  3. Step 3: Cross multiply
    85.97x = 94.17 × 94.17
  4. Step 4: Simplify right side
    85.97x = 8,868.34
  5. Step 5: Solve for x
    x = 8,868.34/85.97
  6. Step 6: Final answer
    x = 103.16

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.