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Finding the Third Proportional to 26,096 and 58,170

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Solution

The third proportional to 26,096 and 58,170 is: 129,665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,096 : 58,170 = 58,170 : x
  2. Step 2: Convert to fraction form
    26,096/58,170 = 58,170/x
  3. Step 3: Cross multiply
    26,096x = 58,170 × 58,170
  4. Step 4: Simplify right side
    26,096x = 3,383,748,900
  5. Step 5: Solve for x
    x = 3,383,748,900/26,096
  6. Step 6: Final answer
    x = 129,665.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.