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Finding the Third Proportional to 122,900.25 and 168,198.75

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Solution

The third proportional to 122,900.25 and 168,198.75 is: 230,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,900.25 : 168,198.75 = 168,198.75 : x
  2. Step 2: Convert to fraction form
    122,900.25/168,198.75 = 168,198.75/x
  3. Step 3: Cross multiply
    122,900.25x = 168,198.75 × 168,198.75
  4. Step 4: Simplify right side
    122,900.25x = 28,290,819,501.56
  5. Step 5: Solve for x
    x = 28,290,819,501.56/122,900.25
  6. Step 6: Final answer
    x = 230,193.34

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.