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Finding the Third Proportional to 122,028.50 and 250,003.50

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Solution

The third proportional to 122,028.50 and 250,003.50 is: 512,189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,028.50 : 250,003.50 = 250,003.50 : x
  2. Step 2: Convert to fraction form
    122,028.50/250,003.50 = 250,003.50/x
  3. Step 3: Cross multiply
    122,028.50x = 250,003.50 × 250,003.50
  4. Step 4: Simplify right side
    122,028.50x = 62,501,750,012.25
  5. Step 5: Solve for x
    x = 62,501,750,012.25/122,028.50
  6. Step 6: Final answer
    x = 512,189.78

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.