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Finding the Third Proportional to 112,922 and 166,268

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Solution

The third proportional to 112,922 and 166,268 is: 244,815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,922 : 166,268 = 166,268 : x
  2. Step 2: Convert to fraction form
    112,922/166,268 = 166,268/x
  3. Step 3: Cross multiply
    112,922x = 166,268 × 166,268
  4. Step 4: Simplify right side
    112,922x = 27,645,047,824
  5. Step 5: Solve for x
    x = 27,645,047,824/112,922
  6. Step 6: Final answer
    x = 244,815.43

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.