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Finding the Third Proportional to 68,622 and 103,098

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Solution

The third proportional to 68,622 and 103,098 is: 154,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,622 : 103,098 = 103,098 : x
  2. Step 2: Convert to fraction form
    68,622/103,098 = 103,098/x
  3. Step 3: Cross multiply
    68,622x = 103,098 × 103,098
  4. Step 4: Simplify right side
    68,622x = 10,629,197,604
  5. Step 5: Solve for x
    x = 10,629,197,604/68,622
  6. Step 6: Final answer
    x = 154,894.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.