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Finding the Third Proportional to 91,968 and 187,824

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Solution

The third proportional to 91,968 and 187,824 is: 383,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,968 : 187,824 = 187,824 : x
  2. Step 2: Convert to fraction form
    91,968/187,824 = 187,824/x
  3. Step 3: Cross multiply
    91,968x = 187,824 × 187,824
  4. Step 4: Simplify right side
    91,968x = 35,277,854,976
  5. Step 5: Solve for x
    x = 35,277,854,976/91,968
  6. Step 6: Final answer
    x = 383,588.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.