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Finding the Third Proportional to 66,790 and 104,016

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Solution

The third proportional to 66,790 and 104,016 is: 161,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,790 : 104,016 = 104,016 : x
  2. Step 2: Convert to fraction form
    66,790/104,016 = 104,016/x
  3. Step 3: Cross multiply
    66,790x = 104,016 × 104,016
  4. Step 4: Simplify right side
    66,790x = 10,819,328,256
  5. Step 5: Solve for x
    x = 10,819,328,256/66,790
  6. Step 6: Final answer
    x = 161,990.24

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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.