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Finding the Third Proportional to 136,104 and 193,569

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Solution

The third proportional to 136,104 and 193,569 is: 275,296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,104 : 193,569 = 193,569 : x
  2. Step 2: Convert to fraction form
    136,104/193,569 = 193,569/x
  3. Step 3: Cross multiply
    136,104x = 193,569 × 193,569
  4. Step 4: Simplify right side
    136,104x = 37,468,957,761
  5. Step 5: Solve for x
    x = 37,468,957,761/136,104
  6. Step 6: Final answer
    x = 275,296.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.