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Finding the Third Proportional to 67,175 and 104,847

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Solution

The third proportional to 67,175 and 104,847 is: 163,645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,175 : 104,847 = 104,847 : x
  2. Step 2: Convert to fraction form
    67,175/104,847 = 104,847/x
  3. Step 3: Cross multiply
    67,175x = 104,847 × 104,847
  4. Step 4: Simplify right side
    67,175x = 10,992,893,409
  5. Step 5: Solve for x
    x = 10,992,893,409/67,175
  6. Step 6: Final answer
    x = 163,645.60

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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.