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Finding the Third Proportional to 107.13 and 161.19

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Solution

The third proportional to 107.13 and 161.19 is: 242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.13 : 161.19 = 161.19 : x
  2. Step 2: Convert to fraction form
    107.13/161.19 = 161.19/x
  3. Step 3: Cross multiply
    107.13x = 161.19 × 161.19
  4. Step 4: Simplify right side
    107.13x = 25,981.41
  5. Step 5: Solve for x
    x = 25,981.41/107.13
  6. Step 6: Final answer
    x = 242.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.