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Finding the Third Proportional to 110,268 and 174,834

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Solution

The third proportional to 110,268 and 174,834 is: 277,205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,268 : 174,834 = 174,834 : x
  2. Step 2: Convert to fraction form
    110,268/174,834 = 174,834/x
  3. Step 3: Cross multiply
    110,268x = 174,834 × 174,834
  4. Step 4: Simplify right side
    110,268x = 30,566,927,556
  5. Step 5: Solve for x
    x = 30,566,927,556/110,268
  6. Step 6: Final answer
    x = 277,205.79

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.