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Finding the Third Proportional to 48,892 and 104,933

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Solution

The third proportional to 48,892 and 104,933 is: 225,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,892 : 104,933 = 104,933 : x
  2. Step 2: Convert to fraction form
    48,892/104,933 = 104,933/x
  3. Step 3: Cross multiply
    48,892x = 104,933 × 104,933
  4. Step 4: Simplify right side
    48,892x = 11,010,934,489
  5. Step 5: Solve for x
    x = 11,010,934,489/48,892
  6. Step 6: Final answer
    x = 225,209.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.