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Finding the Third Proportional to 73.89 and 113.41

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Solution

The third proportional to 73.89 and 113.41 is: 174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.89 : 113.41 = 113.41 : x
  2. Step 2: Convert to fraction form
    73.89/113.41 = 113.41/x
  3. Step 3: Cross multiply
    73.89x = 113.41 × 113.41
  4. Step 4: Simplify right side
    73.89x = 12,860.98
  5. Step 5: Solve for x
    x = 12,860.98/73.89
  6. Step 6: Final answer
    x = 174.05

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.