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Finding the Third Proportional to 72.69 and 112.44

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Solution

The third proportional to 72.69 and 112.44 is: 173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.69 : 112.44 = 112.44 : x
  2. Step 2: Convert to fraction form
    72.69/112.44 = 112.44/x
  3. Step 3: Cross multiply
    72.69x = 112.44 × 112.44
  4. Step 4: Simplify right side
    72.69x = 12,642.19
  5. Step 5: Solve for x
    x = 12,642.19/72.69
  6. Step 6: Final answer
    x = 173.93

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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.