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Finding the Third Proportional to 51,293.25 and 111,938.63

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Solution

The third proportional to 51,293.25 and 111,938.63 is: 244,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,293.25 : 111,938.63 = 111,938.63 : x
  2. Step 2: Convert to fraction form
    51,293.25/111,938.63 = 111,938.63/x
  3. Step 3: Cross multiply
    51,293.25x = 111,938.63 × 111,938.63
  4. Step 4: Simplify right side
    51,293.25x = 12,530,255,766.89
  5. Step 5: Solve for x
    x = 12,530,255,766.89/51,293.25
  6. Step 6: Final answer
    x = 244,286.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.