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Finding the Third Proportional to 50,301.88 and 104,735.75

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Solution

The third proportional to 50,301.88 and 104,735.75 is: 218,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,301.88 : 104,735.75 = 104,735.75 : x
  2. Step 2: Convert to fraction form
    50,301.88/104,735.75 = 104,735.75/x
  3. Step 3: Cross multiply
    50,301.88x = 104,735.75 × 104,735.75
  4. Step 4: Simplify right side
    50,301.88x = 10,969,577,328.06
  5. Step 5: Solve for x
    x = 10,969,577,328.06/50,301.88
  6. Step 6: Final answer
    x = 218,074.92

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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.