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Finding the Third Proportional to 65.97 and 102.44

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Solution

The third proportional to 65.97 and 102.44 is: 159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.97 : 102.44 = 102.44 : x
  2. Step 2: Convert to fraction form
    65.97/102.44 = 102.44/x
  3. Step 3: Cross multiply
    65.97x = 102.44 × 102.44
  4. Step 4: Simplify right side
    65.97x = 10,493.44
  5. Step 5: Solve for x
    x = 10,493.44/65.97
  6. Step 6: Final answer
    x = 159.07

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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.