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Finding the Third Proportional to 70.24 and 112.22

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Solution

The third proportional to 70.24 and 112.22 is: 179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.24 : 112.22 = 112.22 : x
  2. Step 2: Convert to fraction form
    70.24/112.22 = 112.22/x
  3. Step 3: Cross multiply
    70.24x = 112.22 × 112.22
  4. Step 4: Simplify right side
    70.24x = 12,593.05
  5. Step 5: Solve for x
    x = 12,593.05/70.24
  6. Step 6: Final answer
    x = 179.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.