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Finding the Third Proportional to 50,195.25 and 109,136.25

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Solution

The third proportional to 50,195.25 and 109,136.25 is: 237,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,195.25 : 109,136.25 = 109,136.25 : x
  2. Step 2: Convert to fraction form
    50,195.25/109,136.25 = 109,136.25/x
  3. Step 3: Cross multiply
    50,195.25x = 109,136.25 × 109,136.25
  4. Step 4: Simplify right side
    50,195.25x = 11,910,721,064.06
  5. Step 5: Solve for x
    x = 11,910,721,064.06/50,195.25
  6. Step 6: Final answer
    x = 237,287.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.