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Finding the Third Proportional to 50,933 and 113,530

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Solution

The third proportional to 50,933 and 113,530 is: 253,059.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,933 : 113,530 = 113,530 : x
  2. Step 2: Convert to fraction form
    50,933/113,530 = 113,530/x
  3. Step 3: Cross multiply
    50,933x = 113,530 × 113,530
  4. Step 4: Simplify right side
    50,933x = 12,889,060,900
  5. Step 5: Solve for x
    x = 12,889,060,900/50,933
  6. Step 6: Final answer
    x = 253,059.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.