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Finding the Third Proportional to 47,108 and 68,122

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Solution

The third proportional to 47,108 and 68,122 is: 98,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,108 : 68,122 = 68,122 : x
  2. Step 2: Convert to fraction form
    47,108/68,122 = 68,122/x
  3. Step 3: Cross multiply
    47,108x = 68,122 × 68,122
  4. Step 4: Simplify right side
    47,108x = 4,640,606,884
  5. Step 5: Solve for x
    x = 4,640,606,884/47,108
  6. Step 6: Final answer
    x = 98,509.95

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.