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Finding the Third Proportional to 70.97 and 112.94

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Solution

The third proportional to 70.97 and 112.94 is: 179.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.97 : 112.94 = 112.94 : x
  2. Step 2: Convert to fraction form
    70.97/112.94 = 112.94/x
  3. Step 3: Cross multiply
    70.97x = 112.94 × 112.94
  4. Step 4: Simplify right side
    70.97x = 12,754.88
  5. Step 5: Solve for x
    x = 12,754.88/70.97
  6. Step 6: Final answer
    x = 179.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.