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Finding the Third Proportional to 108.25 and 141.94

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Solution

The third proportional to 108.25 and 141.94 is: 186.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.25 : 141.94 = 141.94 : x
  2. Step 2: Convert to fraction form
    108.25/141.94 = 141.94/x
  3. Step 3: Cross multiply
    108.25x = 141.94 × 141.94
  4. Step 4: Simplify right side
    108.25x = 20,146.25
  5. Step 5: Solve for x
    x = 20,146.25/108.25
  6. Step 6: Final answer
    x = 186.11

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.