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Finding the Third Proportional to 70,512 and 101,876

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Solution

The third proportional to 70,512 and 101,876 is: 147,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,512 : 101,876 = 101,876 : x
  2. Step 2: Convert to fraction form
    70,512/101,876 = 101,876/x
  3. Step 3: Cross multiply
    70,512x = 101,876 × 101,876
  4. Step 4: Simplify right side
    70,512x = 10,378,719,376
  5. Step 5: Solve for x
    x = 10,378,719,376/70,512
  6. Step 6: Final answer
    x = 147,190.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.