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Finding the Third Proportional to 67,616 and 96,108

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Solution

The third proportional to 67,616 and 96,108 is: 136,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,616 : 96,108 = 96,108 : x
  2. Step 2: Convert to fraction form
    67,616/96,108 = 96,108/x
  3. Step 3: Cross multiply
    67,616x = 96,108 × 96,108
  4. Step 4: Simplify right side
    67,616x = 9,236,747,664
  5. Step 5: Solve for x
    x = 9,236,747,664/67,616
  6. Step 6: Final answer
    x = 136,605.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.