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Finding the Third Proportional to 50,290 and 104,713.50

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Solution

The third proportional to 50,290 and 104,713.50 is: 218,033.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,290 : 104,713.50 = 104,713.50 : x
  2. Step 2: Convert to fraction form
    50,290/104,713.50 = 104,713.50/x
  3. Step 3: Cross multiply
    50,290x = 104,713.50 × 104,713.50
  4. Step 4: Simplify right side
    50,290x = 10,964,917,082.25
  5. Step 5: Solve for x
    x = 10,964,917,082.25/50,290
  6. Step 6: Final answer
    x = 218,033.75

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