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Finding the Third Proportional to 102.94 and 157.78

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Solution

The third proportional to 102.94 and 157.78 is: 241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.94 : 157.78 = 157.78 : x
  2. Step 2: Convert to fraction form
    102.94/157.78 = 157.78/x
  3. Step 3: Cross multiply
    102.94x = 157.78 × 157.78
  4. Step 4: Simplify right side
    102.94x = 24,894.92
  5. Step 5: Solve for x
    x = 24,894.92/102.94
  6. Step 6: Final answer
    x = 241.85

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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.