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Finding the Third Proportional to 70.72 and 109.28

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Solution

The third proportional to 70.72 and 109.28 is: 168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.72 : 109.28 = 109.28 : x
  2. Step 2: Convert to fraction form
    70.72/109.28 = 109.28/x
  3. Step 3: Cross multiply
    70.72x = 109.28 × 109.28
  4. Step 4: Simplify right side
    70.72x = 11,941.86
  5. Step 5: Solve for x
    x = 11,941.86/70.72
  6. Step 6: Final answer
    x = 168.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.