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Finding the Third Proportional to 50,267.25 and 76,052.25

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Solution

The third proportional to 50,267.25 and 76,052.25 is: 115,063.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,267.25 : 76,052.25 = 76,052.25 : x
  2. Step 2: Convert to fraction form
    50,267.25/76,052.25 = 76,052.25/x
  3. Step 3: Cross multiply
    50,267.25x = 76,052.25 × 76,052.25
  4. Step 4: Simplify right side
    50,267.25x = 5,783,944,730.06
  5. Step 5: Solve for x
    x = 5,783,944,730.06/50,267.25
  6. Step 6: Final answer
    x = 115,063.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.