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Finding the Third Proportional to 101,219 and 160,839

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Solution

The third proportional to 101,219 and 160,839 is: 255,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,219 : 160,839 = 160,839 : x
  2. Step 2: Convert to fraction form
    101,219/160,839 = 160,839/x
  3. Step 3: Cross multiply
    101,219x = 160,839 × 160,839
  4. Step 4: Simplify right side
    101,219x = 25,869,183,921
  5. Step 5: Solve for x
    x = 25,869,183,921/101,219
  6. Step 6: Final answer
    x = 255,576.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.