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Finding the Third Proportional to 68,834 and 104,601

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Solution

The third proportional to 68,834 and 104,601 is: 158,952.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,834 : 104,601 = 104,601 : x
  2. Step 2: Convert to fraction form
    68,834/104,601 = 104,601/x
  3. Step 3: Cross multiply
    68,834x = 104,601 × 104,601
  4. Step 4: Simplify right side
    68,834x = 10,941,369,201
  5. Step 5: Solve for x
    x = 10,941,369,201/68,834
  6. Step 6: Final answer
    x = 158,952.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.