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Finding the Third Proportional to 50,093.44 and 118,254.94

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Solution

The third proportional to 50,093.44 and 118,254.94 is: 279,162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,093.44 : 118,254.94 = 118,254.94 : x
  2. Step 2: Convert to fraction form
    50,093.44/118,254.94 = 118,254.94/x
  3. Step 3: Cross multiply
    50,093.44x = 118,254.94 × 118,254.94
  4. Step 4: Simplify right side
    50,093.44x = 13,984,230,243.13
  5. Step 5: Solve for x
    x = 13,984,230,243.13/50,093.44
  6. Step 6: Final answer
    x = 279,162.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.