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Finding the Third Proportional to 50,118.75 and 103,415.48

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Solution

The third proportional to 50,118.75 and 103,415.48 is: 213,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,118.75 : 103,415.48 = 103,415.48 : x
  2. Step 2: Convert to fraction form
    50,118.75/103,415.48 = 103,415.48/x
  3. Step 3: Cross multiply
    50,118.75x = 103,415.48 × 103,415.48
  4. Step 4: Simplify right side
    50,118.75x = 10,694,762,408.52
  5. Step 5: Solve for x
    x = 10,694,762,408.52/50,118.75
  6. Step 6: Final answer
    x = 213,388.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.