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Finding the Third Proportional to 50,285.75 and 104,742.75

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Solution

The third proportional to 50,285.75 and 104,742.75 is: 218,174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,285.75 : 104,742.75 = 104,742.75 : x
  2. Step 2: Convert to fraction form
    50,285.75/104,742.75 = 104,742.75/x
  3. Step 3: Cross multiply
    50,285.75x = 104,742.75 × 104,742.75
  4. Step 4: Simplify right side
    50,285.75x = 10,971,043,677.56
  5. Step 5: Solve for x
    x = 10,971,043,677.56/50,285.75
  6. Step 6: Final answer
    x = 218,174.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.