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Finding the Third Proportional to 66,997 and 104,185

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Solution

The third proportional to 66,997 and 104,185 is: 162,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,997 : 104,185 = 104,185 : x
  2. Step 2: Convert to fraction form
    66,997/104,185 = 104,185/x
  3. Step 3: Cross multiply
    66,997x = 104,185 × 104,185
  4. Step 4: Simplify right side
    66,997x = 10,854,514,225
  5. Step 5: Solve for x
    x = 10,854,514,225/66,997
  6. Step 6: Final answer
    x = 162,014.93

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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.