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Finding the Third Proportional to 75.11 and 113.55

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Solution

The third proportional to 75.11 and 113.55 is: 171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.11 : 113.55 = 113.55 : x
  2. Step 2: Convert to fraction form
    75.11/113.55 = 113.55/x
  3. Step 3: Cross multiply
    75.11x = 113.55 × 113.55
  4. Step 4: Simplify right side
    75.11x = 12,893.67
  5. Step 5: Solve for x
    x = 12,893.67/75.11
  6. Step 6: Final answer
    x = 171.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.