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Finding the Third Proportional to 120,542.25 and 193,570.50

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Solution

The third proportional to 120,542.25 and 193,570.50 is: 310,841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,542.25 : 193,570.50 = 193,570.50 : x
  2. Step 2: Convert to fraction form
    120,542.25/193,570.50 = 193,570.50/x
  3. Step 3: Cross multiply
    120,542.25x = 193,570.50 × 193,570.50
  4. Step 4: Simplify right side
    120,542.25x = 37,469,538,470.25
  5. Step 5: Solve for x
    x = 37,469,538,470.25/120,542.25
  6. Step 6: Final answer
    x = 310,841.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.