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Finding the Third Proportional to 50,913 and 111,667.50

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Solution

The third proportional to 50,913 and 111,667.50 is: 244,920.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,913 : 111,667.50 = 111,667.50 : x
  2. Step 2: Convert to fraction form
    50,913/111,667.50 = 111,667.50/x
  3. Step 3: Cross multiply
    50,913x = 111,667.50 × 111,667.50
  4. Step 4: Simplify right side
    50,913x = 12,469,630,556.25
  5. Step 5: Solve for x
    x = 12,469,630,556.25/50,913
  6. Step 6: Final answer
    x = 244,920.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.