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Finding the Third Proportional to 100,361.25 and 136,235.25

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Solution

The third proportional to 100,361.25 and 136,235.25 is: 184,932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,361.25 : 136,235.25 = 136,235.25 : x
  2. Step 2: Convert to fraction form
    100,361.25/136,235.25 = 136,235.25/x
  3. Step 3: Cross multiply
    100,361.25x = 136,235.25 × 136,235.25
  4. Step 4: Simplify right side
    100,361.25x = 18,560,043,342.56
  5. Step 5: Solve for x
    x = 18,560,043,342.56/100,361.25
  6. Step 6: Final answer
    x = 184,932.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.