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Finding the Third Proportional to 50,287.50 and 104,708.25

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Solution

The third proportional to 50,287.50 and 104,708.25 is: 218,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,287.50 : 104,708.25 = 104,708.25 : x
  2. Step 2: Convert to fraction form
    50,287.50/104,708.25 = 104,708.25/x
  3. Step 3: Cross multiply
    50,287.50x = 104,708.25 × 104,708.25
  4. Step 4: Simplify right side
    50,287.50x = 10,963,817,618.06
  5. Step 5: Solve for x
    x = 10,963,817,618.06/50,287.50
  6. Step 6: Final answer
    x = 218,022.72

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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.