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Finding the Third Proportional to 92.45 and 128.54

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Solution

The third proportional to 92.45 and 128.54 is: 178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.45 : 128.54 = 128.54 : x
  2. Step 2: Convert to fraction form
    92.45/128.54 = 128.54/x
  3. Step 3: Cross multiply
    92.45x = 128.54 × 128.54
  4. Step 4: Simplify right side
    92.45x = 16,523.29
  5. Step 5: Solve for x
    x = 16,523.29/92.45
  6. Step 6: Final answer
    x = 178.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.