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Finding the Third Proportional to 50,244.50 and 107,773.75

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Solution

The third proportional to 50,244.50 and 107,773.75 is: 231,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,244.50 : 107,773.75 = 107,773.75 : x
  2. Step 2: Convert to fraction form
    50,244.50/107,773.75 = 107,773.75/x
  3. Step 3: Cross multiply
    50,244.50x = 107,773.75 × 107,773.75
  4. Step 4: Simplify right side
    50,244.50x = 11,615,181,189.06
  5. Step 5: Solve for x
    x = 11,615,181,189.06/50,244.50
  6. Step 6: Final answer
    x = 231,173.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.