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Finding the Third Proportional to 70.97 and 122.94

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Solution

The third proportional to 70.97 and 122.94 is: 212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.97 : 122.94 = 122.94 : x
  2. Step 2: Convert to fraction form
    70.97/122.94 = 122.94/x
  3. Step 3: Cross multiply
    70.97x = 122.94 × 122.94
  4. Step 4: Simplify right side
    70.97x = 15,113.63
  5. Step 5: Solve for x
    x = 15,113.63/70.97
  6. Step 6: Final answer
    x = 212.96

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.