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Finding the Third Proportional to 117.84 and 165.94

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Solution

The third proportional to 117.84 and 165.94 is: 233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.84 : 165.94 = 165.94 : x
  2. Step 2: Convert to fraction form
    117.84/165.94 = 165.94/x
  3. Step 3: Cross multiply
    117.84x = 165.94 × 165.94
  4. Step 4: Simplify right side
    117.84x = 27,535.25
  5. Step 5: Solve for x
    x = 27,535.25/117.84
  6. Step 6: Final answer
    x = 233.66

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.