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Finding the Third Proportional to 40,512 and 85,134

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Solution

The third proportional to 40,512 and 85,134 is: 178,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,512 : 85,134 = 85,134 : x
  2. Step 2: Convert to fraction form
    40,512/85,134 = 85,134/x
  3. Step 3: Cross multiply
    40,512x = 85,134 × 85,134
  4. Step 4: Simplify right side
    40,512x = 7,247,797,956
  5. Step 5: Solve for x
    x = 7,247,797,956/40,512
  6. Step 6: Final answer
    x = 178,904.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.