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Finding the Third Proportional to 57,234 and 84,198

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Solution

The third proportional to 57,234 and 84,198 is: 123,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,234 : 84,198 = 84,198 : x
  2. Step 2: Convert to fraction form
    57,234/84,198 = 84,198/x
  3. Step 3: Cross multiply
    57,234x = 84,198 × 84,198
  4. Step 4: Simplify right side
    57,234x = 7,089,303,204
  5. Step 5: Solve for x
    x = 7,089,303,204/57,234
  6. Step 6: Final answer
    x = 123,865.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.