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Finding the Third Proportional to 66,804 and 104,028

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Solution

The third proportional to 66,804 and 104,028 is: 161,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,804 : 104,028 = 104,028 : x
  2. Step 2: Convert to fraction form
    66,804/104,028 = 104,028/x
  3. Step 3: Cross multiply
    66,804x = 104,028 × 104,028
  4. Step 4: Simplify right side
    66,804x = 10,821,824,784
  5. Step 5: Solve for x
    x = 10,821,824,784/66,804
  6. Step 6: Final answer
    x = 161,993.66

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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.