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Finding the Third Proportional to 50,149.75 and 110,139.25

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Solution

The third proportional to 50,149.75 and 110,139.25 is: 241,888.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,149.75 : 110,139.25 = 110,139.25 : x
  2. Step 2: Convert to fraction form
    50,149.75/110,139.25 = 110,139.25/x
  3. Step 3: Cross multiply
    50,149.75x = 110,139.25 × 110,139.25
  4. Step 4: Simplify right side
    50,149.75x = 12,130,654,390.56
  5. Step 5: Solve for x
    x = 12,130,654,390.56/50,149.75
  6. Step 6: Final answer
    x = 241,888.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.