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Finding the Third Proportional to 50,321.25 and 102,827.25

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Solution

The third proportional to 50,321.25 and 102,827.25 is: 210,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,321.25 : 102,827.25 = 102,827.25 : x
  2. Step 2: Convert to fraction form
    50,321.25/102,827.25 = 102,827.25/x
  3. Step 3: Cross multiply
    50,321.25x = 102,827.25 × 102,827.25
  4. Step 4: Simplify right side
    50,321.25x = 10,573,443,342.56
  5. Step 5: Solve for x
    x = 10,573,443,342.56/50,321.25
  6. Step 6: Final answer
    x = 210,118.85

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.