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Finding the Third Proportional to 72 and 111.94

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Solution

The third proportional to 72 and 111.94 is: 174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72 : 111.94 = 111.94 : x
  2. Step 2: Convert to fraction form
    72/111.94 = 111.94/x
  3. Step 3: Cross multiply
    72x = 111.94 × 111.94
  4. Step 4: Simplify right side
    72x = 12,530.00
  5. Step 5: Solve for x
    x = 12,530.00/72
  6. Step 6: Final answer
    x = 174.03

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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.