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Finding the Third Proportional to 94,108 and 195,960

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Solution

The third proportional to 94,108 and 195,960 is: 408,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,108 : 195,960 = 195,960 : x
  2. Step 2: Convert to fraction form
    94,108/195,960 = 195,960/x
  3. Step 3: Cross multiply
    94,108x = 195,960 × 195,960
  4. Step 4: Simplify right side
    94,108x = 38,400,321,600
  5. Step 5: Solve for x
    x = 38,400,321,600/94,108
  6. Step 6: Final answer
    x = 408,045.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.