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Finding the Third Proportional to 102.75 and 157.97

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Solution

The third proportional to 102.75 and 157.97 is: 242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.75 : 157.97 = 157.97 : x
  2. Step 2: Convert to fraction form
    102.75/157.97 = 157.97/x
  3. Step 3: Cross multiply
    102.75x = 157.97 × 157.97
  4. Step 4: Simplify right side
    102.75x = 24,954.13
  5. Step 5: Solve for x
    x = 24,954.13/102.75
  6. Step 6: Final answer
    x = 242.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.