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Finding the Third Proportional to 57,222.75 and 124,296.50

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Solution

The third proportional to 57,222.75 and 124,296.50 is: 269,990.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,222.75 : 124,296.50 = 124,296.50 : x
  2. Step 2: Convert to fraction form
    57,222.75/124,296.50 = 124,296.50/x
  3. Step 3: Cross multiply
    57,222.75x = 124,296.50 × 124,296.50
  4. Step 4: Simplify right side
    57,222.75x = 15,449,619,912.25
  5. Step 5: Solve for x
    x = 15,449,619,912.25/57,222.75
  6. Step 6: Final answer
    x = 269,990.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.