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Finding the Third Proportional to 100.94 and 115.94

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Solution

The third proportional to 100.94 and 115.94 is: 133.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.94 : 115.94 = 115.94 : x
  2. Step 2: Convert to fraction form
    100.94/115.94 = 115.94/x
  3. Step 3: Cross multiply
    100.94x = 115.94 × 115.94
  4. Step 4: Simplify right side
    100.94x = 13,441.50
  5. Step 5: Solve for x
    x = 13,441.50/100.94
  6. Step 6: Final answer
    x = 133.17

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.