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Finding the Third Proportional to 57,833 and 133,873

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Solution

The third proportional to 57,833 and 133,873 is: 309,891.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,833 : 133,873 = 133,873 : x
  2. Step 2: Convert to fraction form
    57,833/133,873 = 133,873/x
  3. Step 3: Cross multiply
    57,833x = 133,873 × 133,873
  4. Step 4: Simplify right side
    57,833x = 17,921,980,129
  5. Step 5: Solve for x
    x = 17,921,980,129/57,833
  6. Step 6: Final answer
    x = 309,891.93

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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.