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Finding the Third Proportional to 66,782 and 104,004

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Solution

The third proportional to 66,782 and 104,004 is: 161,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,782 : 104,004 = 104,004 : x
  2. Step 2: Convert to fraction form
    66,782/104,004 = 104,004/x
  3. Step 3: Cross multiply
    66,782x = 104,004 × 104,004
  4. Step 4: Simplify right side
    66,782x = 10,816,832,016
  5. Step 5: Solve for x
    x = 10,816,832,016/66,782
  6. Step 6: Final answer
    x = 161,972.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.