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Finding the Third Proportional to 50,615.25 and 120,887.25

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Solution

The third proportional to 50,615.25 and 120,887.25 is: 288,721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,615.25 : 120,887.25 = 120,887.25 : x
  2. Step 2: Convert to fraction form
    50,615.25/120,887.25 = 120,887.25/x
  3. Step 3: Cross multiply
    50,615.25x = 120,887.25 × 120,887.25
  4. Step 4: Simplify right side
    50,615.25x = 14,613,727,212.56
  5. Step 5: Solve for x
    x = 14,613,727,212.56/50,615.25
  6. Step 6: Final answer
    x = 288,721.82

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.