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Finding the Third Proportional to 75,802 and 164,219

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Solution

The third proportional to 75,802 and 164,219 is: 355,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,802 : 164,219 = 164,219 : x
  2. Step 2: Convert to fraction form
    75,802/164,219 = 164,219/x
  3. Step 3: Cross multiply
    75,802x = 164,219 × 164,219
  4. Step 4: Simplify right side
    75,802x = 26,967,879,961
  5. Step 5: Solve for x
    x = 26,967,879,961/75,802
  6. Step 6: Final answer
    x = 355,767.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.