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Finding the Third Proportional to 119,774 and 179,647

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Solution

The third proportional to 119,774 and 179,647 is: 269,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,774 : 179,647 = 179,647 : x
  2. Step 2: Convert to fraction form
    119,774/179,647 = 179,647/x
  3. Step 3: Cross multiply
    119,774x = 179,647 × 179,647
  4. Step 4: Simplify right side
    119,774x = 32,273,044,609
  5. Step 5: Solve for x
    x = 32,273,044,609/119,774
  6. Step 6: Final answer
    x = 269,449.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.