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Finding the Third Proportional to 50,716.13 and 109,451.25

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Solution

The third proportional to 50,716.13 and 109,451.25 is: 236,208.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,716.13 : 109,451.25 = 109,451.25 : x
  2. Step 2: Convert to fraction form
    50,716.13/109,451.25 = 109,451.25/x
  3. Step 3: Cross multiply
    50,716.13x = 109,451.25 × 109,451.25
  4. Step 4: Simplify right side
    50,716.13x = 11,979,576,126.56
  5. Step 5: Solve for x
    x = 11,979,576,126.56/50,716.13
  6. Step 6: Final answer
    x = 236,208.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.