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Finding the Third Proportional to 122,198.63 and 173,046.38

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Solution

The third proportional to 122,198.63 and 173,046.38 is: 245,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,198.63 : 173,046.38 = 173,046.38 : x
  2. Step 2: Convert to fraction form
    122,198.63/173,046.38 = 173,046.38/x
  3. Step 3: Cross multiply
    122,198.63x = 173,046.38 × 173,046.38
  4. Step 4: Simplify right side
    122,198.63x = 29,945,047,900.64
  5. Step 5: Solve for x
    x = 29,945,047,900.64/122,198.63
  6. Step 6: Final answer
    x = 245,052.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.