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Finding the Third Proportional to 119,797 and 179,697

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Solution

The third proportional to 119,797 and 179,697 is: 269,547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,797 : 179,697 = 179,697 : x
  2. Step 2: Convert to fraction form
    119,797/179,697 = 179,697/x
  3. Step 3: Cross multiply
    119,797x = 179,697 × 179,697
  4. Step 4: Simplify right side
    119,797x = 32,291,011,809
  5. Step 5: Solve for x
    x = 32,291,011,809/119,797
  6. Step 6: Final answer
    x = 269,547.75

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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.