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Finding the Third Proportional to 111,786 and 168,728

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Solution

The third proportional to 111,786 and 168,728 is: 254,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,786 : 168,728 = 168,728 : x
  2. Step 2: Convert to fraction form
    111,786/168,728 = 168,728/x
  3. Step 3: Cross multiply
    111,786x = 168,728 × 168,728
  4. Step 4: Simplify right side
    111,786x = 28,469,137,984
  5. Step 5: Solve for x
    x = 28,469,137,984/111,786
  6. Step 6: Final answer
    x = 254,675.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.