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Finding the Third Proportional to 65,846 and 104,601

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Solution

The third proportional to 65,846 and 104,601 is: 166,166.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,846 : 104,601 = 104,601 : x
  2. Step 2: Convert to fraction form
    65,846/104,601 = 104,601/x
  3. Step 3: Cross multiply
    65,846x = 104,601 × 104,601
  4. Step 4: Simplify right side
    65,846x = 10,941,369,201
  5. Step 5: Solve for x
    x = 10,941,369,201/65,846
  6. Step 6: Final answer
    x = 166,166.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.