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Finding the Third Proportional to 42,831 and 101,245

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Solution

The third proportional to 42,831 and 101,245 is: 239,325.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,831 : 101,245 = 101,245 : x
  2. Step 2: Convert to fraction form
    42,831/101,245 = 101,245/x
  3. Step 3: Cross multiply
    42,831x = 101,245 × 101,245
  4. Step 4: Simplify right side
    42,831x = 10,250,550,025
  5. Step 5: Solve for x
    x = 10,250,550,025/42,831
  6. Step 6: Final answer
    x = 239,325.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.