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Finding the Third Proportional to 49,701.75 and 106,819.50

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Solution

The third proportional to 49,701.75 and 106,819.50 is: 229,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,701.75 : 106,819.50 = 106,819.50 : x
  2. Step 2: Convert to fraction form
    49,701.75/106,819.50 = 106,819.50/x
  3. Step 3: Cross multiply
    49,701.75x = 106,819.50 × 106,819.50
  4. Step 4: Simplify right side
    49,701.75x = 11,410,405,580.25
  5. Step 5: Solve for x
    x = 11,410,405,580.25/49,701.75
  6. Step 6: Final answer
    x = 229,577.54

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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.