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Finding the Third Proportional to 57,831 and 133,869

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Solution

The third proportional to 57,831 and 133,869 is: 309,884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,831 : 133,869 = 133,869 : x
  2. Step 2: Convert to fraction form
    57,831/133,869 = 133,869/x
  3. Step 3: Cross multiply
    57,831x = 133,869 × 133,869
  4. Step 4: Simplify right side
    57,831x = 17,920,909,161
  5. Step 5: Solve for x
    x = 17,920,909,161/57,831
  6. Step 6: Final answer
    x = 309,884.13

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.