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Finding the Third Proportional to 92.75 and 141.31

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Solution

The third proportional to 92.75 and 141.31 is: 215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.75 : 141.31 = 141.31 : x
  2. Step 2: Convert to fraction form
    92.75/141.31 = 141.31/x
  3. Step 3: Cross multiply
    92.75x = 141.31 × 141.31
  4. Step 4: Simplify right side
    92.75x = 19,969.22
  5. Step 5: Solve for x
    x = 19,969.22/92.75
  6. Step 6: Final answer
    x = 215.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.