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Finding the Third Proportional to 57,682.13 and 122,735.25

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Solution

The third proportional to 57,682.13 and 122,735.25 is: 261,154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,682.13 : 122,735.25 = 122,735.25 : x
  2. Step 2: Convert to fraction form
    57,682.13/122,735.25 = 122,735.25/x
  3. Step 3: Cross multiply
    57,682.13x = 122,735.25 × 122,735.25
  4. Step 4: Simplify right side
    57,682.13x = 15,063,941,592.56
  5. Step 5: Solve for x
    x = 15,063,941,592.56/57,682.13
  6. Step 6: Final answer
    x = 261,154.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.