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Finding the Third Proportional to 50,531.63 and 84,212.44

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Solution

The third proportional to 50,531.63 and 84,212.44 is: 140,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,531.63 : 84,212.44 = 84,212.44 : x
  2. Step 2: Convert to fraction form
    50,531.63/84,212.44 = 84,212.44/x
  3. Step 3: Cross multiply
    50,531.63x = 84,212.44 × 84,212.44
  4. Step 4: Simplify right side
    50,531.63x = 7,091,734,629.69
  5. Step 5: Solve for x
    x = 7,091,734,629.69/50,531.63
  6. Step 6: Final answer
    x = 140,342.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.