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Finding the Third Proportional to 136,879 and 183,096

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Solution

The third proportional to 136,879 and 183,096 is: 244,918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,879 : 183,096 = 183,096 : x
  2. Step 2: Convert to fraction form
    136,879/183,096 = 183,096/x
  3. Step 3: Cross multiply
    136,879x = 183,096 × 183,096
  4. Step 4: Simplify right side
    136,879x = 33,524,145,216
  5. Step 5: Solve for x
    x = 33,524,145,216/136,879
  6. Step 6: Final answer
    x = 244,918.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.