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Finding the Third Proportional to 62.44 and 107.22

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Solution

The third proportional to 62.44 and 107.22 is: 184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.44 : 107.22 = 107.22 : x
  2. Step 2: Convert to fraction form
    62.44/107.22 = 107.22/x
  3. Step 3: Cross multiply
    62.44x = 107.22 × 107.22
  4. Step 4: Simplify right side
    62.44x = 11,495.86
  5. Step 5: Solve for x
    x = 11,495.86/62.44
  6. Step 6: Final answer
    x = 184.12

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.