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Finding the Third Proportional to 57,393 and 84,199

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Solution

The third proportional to 57,393 and 84,199 is: 123,525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,393 : 84,199 = 84,199 : x
  2. Step 2: Convert to fraction form
    57,393/84,199 = 84,199/x
  3. Step 3: Cross multiply
    57,393x = 84,199 × 84,199
  4. Step 4: Simplify right side
    57,393x = 7,089,471,601
  5. Step 5: Solve for x
    x = 7,089,471,601/57,393
  6. Step 6: Final answer
    x = 123,525.02

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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.