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Finding the Third Proportional to 110,600 and 166,826

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Solution

The third proportional to 110,600 and 166,826 is: 251,635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,600 : 166,826 = 166,826 : x
  2. Step 2: Convert to fraction form
    110,600/166,826 = 166,826/x
  3. Step 3: Cross multiply
    110,600x = 166,826 × 166,826
  4. Step 4: Simplify right side
    110,600x = 27,830,914,276
  5. Step 5: Solve for x
    x = 27,830,914,276/110,600
  6. Step 6: Final answer
    x = 251,635.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.