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Finding the Third Proportional to 72.42 and 94.22

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Solution

The third proportional to 72.42 and 94.22 is: 122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.42 : 94.22 = 94.22 : x
  2. Step 2: Convert to fraction form
    72.42/94.22 = 94.22/x
  3. Step 3: Cross multiply
    72.42x = 94.22 × 94.22
  4. Step 4: Simplify right side
    72.42x = 8,877.17
  5. Step 5: Solve for x
    x = 8,877.17/72.42
  6. Step 6: Final answer
    x = 122.58

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.