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Finding the Third Proportional to 42,876 and 90,996.75

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Solution

The third proportional to 42,876 and 90,996.75 is: 193,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,876 : 90,996.75 = 90,996.75 : x
  2. Step 2: Convert to fraction form
    42,876/90,996.75 = 90,996.75/x
  3. Step 3: Cross multiply
    42,876x = 90,996.75 × 90,996.75
  4. Step 4: Simplify right side
    42,876x = 8,280,408,510.56
  5. Step 5: Solve for x
    x = 8,280,408,510.56/42,876
  6. Step 6: Final answer
    x = 193,124.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.