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Finding the Third Proportional to 50,110.50 and 107,996.25

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Solution

The third proportional to 50,110.50 and 107,996.25 is: 232,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,110.50 : 107,996.25 = 107,996.25 : x
  2. Step 2: Convert to fraction form
    50,110.50/107,996.25 = 107,996.25/x
  3. Step 3: Cross multiply
    50,110.50x = 107,996.25 × 107,996.25
  4. Step 4: Simplify right side
    50,110.50x = 11,663,190,014.06
  5. Step 5: Solve for x
    x = 11,663,190,014.06/50,110.50
  6. Step 6: Final answer
    x = 232,749.42

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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.