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Finding the Third Proportional to 111,072.94 and 158,721.19

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Solution

The third proportional to 111,072.94 and 158,721.19 is: 226,809.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,072.94 : 158,721.19 = 158,721.19 : x
  2. Step 2: Convert to fraction form
    111,072.94/158,721.19 = 158,721.19/x
  3. Step 3: Cross multiply
    111,072.94x = 158,721.19 × 158,721.19
  4. Step 4: Simplify right side
    111,072.94x = 25,192,415,361.41
  5. Step 5: Solve for x
    x = 25,192,415,361.41/111,072.94
  6. Step 6: Final answer
    x = 226,809.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.