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Finding the Third Proportional to 50,301.75 and 106,600.75

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Solution

The third proportional to 50,301.75 and 106,600.75 is: 225,911.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,301.75 : 106,600.75 = 106,600.75 : x
  2. Step 2: Convert to fraction form
    50,301.75/106,600.75 = 106,600.75/x
  3. Step 3: Cross multiply
    50,301.75x = 106,600.75 × 106,600.75
  4. Step 4: Simplify right side
    50,301.75x = 11,363,719,900.56
  5. Step 5: Solve for x
    x = 11,363,719,900.56/50,301.75
  6. Step 6: Final answer
    x = 225,911.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.