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Finding the Third Proportional to 111,268 and 170,789

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Solution

The third proportional to 111,268 and 170,789 is: 262,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,268 : 170,789 = 170,789 : x
  2. Step 2: Convert to fraction form
    111,268/170,789 = 170,789/x
  3. Step 3: Cross multiply
    111,268x = 170,789 × 170,789
  4. Step 4: Simplify right side
    111,268x = 29,168,882,521
  5. Step 5: Solve for x
    x = 29,168,882,521/111,268
  6. Step 6: Final answer
    x = 262,149.79

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.