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Finding the Third Proportional to 92.97 and 141.92

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Solution

The third proportional to 92.97 and 141.92 is: 216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.97 : 141.92 = 141.92 : x
  2. Step 2: Convert to fraction form
    92.97/141.92 = 141.92/x
  3. Step 3: Cross multiply
    92.97x = 141.92 × 141.92
  4. Step 4: Simplify right side
    92.97x = 20,141.82
  5. Step 5: Solve for x
    x = 20,141.82/92.97
  6. Step 6: Final answer
    x = 216.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.