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Finding the Third Proportional to 101,586 and 158,851

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Solution

The third proportional to 101,586 and 158,851 is: 248,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,586 : 158,851 = 158,851 : x
  2. Step 2: Convert to fraction form
    101,586/158,851 = 158,851/x
  3. Step 3: Cross multiply
    101,586x = 158,851 × 158,851
  4. Step 4: Simplify right side
    101,586x = 25,233,640,201
  5. Step 5: Solve for x
    x = 25,233,640,201/101,586
  6. Step 6: Final answer
    x = 248,396.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.