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Finding the Third Proportional to 49,908.75 and 107,119.50

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Solution

The third proportional to 49,908.75 and 107,119.50 is: 229,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,908.75 : 107,119.50 = 107,119.50 : x
  2. Step 2: Convert to fraction form
    49,908.75/107,119.50 = 107,119.50/x
  3. Step 3: Cross multiply
    49,908.75x = 107,119.50 × 107,119.50
  4. Step 4: Simplify right side
    49,908.75x = 11,474,587,280.25
  5. Step 5: Solve for x
    x = 11,474,587,280.25/49,908.75
  6. Step 6: Final answer
    x = 229,911.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.