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Finding the Third Proportional to 141.82 and 195.29

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Solution

The third proportional to 141.82 and 195.29 is: 268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.82 : 195.29 = 195.29 : x
  2. Step 2: Convert to fraction form
    141.82/195.29 = 195.29/x
  3. Step 3: Cross multiply
    141.82x = 195.29 × 195.29
  4. Step 4: Simplify right side
    141.82x = 38,139.34
  5. Step 5: Solve for x
    x = 38,139.34/141.82
  6. Step 6: Final answer
    x = 268.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.