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Finding the Third Proportional to 114,122.25 and 251,025.75

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Solution

The third proportional to 114,122.25 and 251,025.75 is: 552,161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,122.25 : 251,025.75 = 251,025.75 : x
  2. Step 2: Convert to fraction form
    114,122.25/251,025.75 = 251,025.75/x
  3. Step 3: Cross multiply
    114,122.25x = 251,025.75 × 251,025.75
  4. Step 4: Simplify right side
    114,122.25x = 63,013,927,163.06
  5. Step 5: Solve for x
    x = 63,013,927,163.06/114,122.25
  6. Step 6: Final answer
    x = 552,161.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.