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Finding the Third Proportional to 53,263 and 116,059

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Solution

The third proportional to 53,263 and 116,059 is: 252,890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,263 : 116,059 = 116,059 : x
  2. Step 2: Convert to fraction form
    53,263/116,059 = 116,059/x
  3. Step 3: Cross multiply
    53,263x = 116,059 × 116,059
  4. Step 4: Simplify right side
    53,263x = 13,469,691,481
  5. Step 5: Solve for x
    x = 13,469,691,481/53,263
  6. Step 6: Final answer
    x = 252,890.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.