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Finding the Third Proportional to 66,998 and 104,186

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Solution

The third proportional to 66,998 and 104,186 is: 162,015.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,998 : 104,186 = 104,186 : x
  2. Step 2: Convert to fraction form
    66,998/104,186 = 104,186/x
  3. Step 3: Cross multiply
    66,998x = 104,186 × 104,186
  4. Step 4: Simplify right side
    66,998x = 10,854,722,596
  5. Step 5: Solve for x
    x = 10,854,722,596/66,998
  6. Step 6: Final answer
    x = 162,015.62

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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.