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Finding the Third Proportional to 50,393.25 and 104,931

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Solution

The third proportional to 50,393.25 and 104,931 is: 218,491.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,393.25 : 104,931 = 104,931 : x
  2. Step 2: Convert to fraction form
    50,393.25/104,931 = 104,931/x
  3. Step 3: Cross multiply
    50,393.25x = 104,931 × 104,931
  4. Step 4: Simplify right side
    50,393.25x = 11,010,514,761
  5. Step 5: Solve for x
    x = 11,010,514,761/50,393.25
  6. Step 6: Final answer
    x = 218,491.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.