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Finding the Third Proportional to 122,107.50 and 254,481.75

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Solution

The third proportional to 122,107.50 and 254,481.75 is: 530,360.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,107.50 : 254,481.75 = 254,481.75 : x
  2. Step 2: Convert to fraction form
    122,107.50/254,481.75 = 254,481.75/x
  3. Step 3: Cross multiply
    122,107.50x = 254,481.75 × 254,481.75
  4. Step 4: Simplify right side
    122,107.50x = 64,760,961,083.06
  5. Step 5: Solve for x
    x = 64,760,961,083.06/122,107.50
  6. Step 6: Final answer
    x = 530,360.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.