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Finding the Third Proportional to 66,976 and 104,512

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Solution

The third proportional to 66,976 and 104,512 is: 163,084.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,976 : 104,512 = 104,512 : x
  2. Step 2: Convert to fraction form
    66,976/104,512 = 104,512/x
  3. Step 3: Cross multiply
    66,976x = 104,512 × 104,512
  4. Step 4: Simplify right side
    66,976x = 10,922,758,144
  5. Step 5: Solve for x
    x = 10,922,758,144/66,976
  6. Step 6: Final answer
    x = 163,084.66

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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.