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Finding the Third Proportional to 115,786 and 173,194

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Solution

The third proportional to 115,786 and 173,194 is: 259,065.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,786 : 173,194 = 173,194 : x
  2. Step 2: Convert to fraction form
    115,786/173,194 = 173,194/x
  3. Step 3: Cross multiply
    115,786x = 173,194 × 173,194
  4. Step 4: Simplify right side
    115,786x = 29,996,161,636
  5. Step 5: Solve for x
    x = 29,996,161,636/115,786
  6. Step 6: Final answer
    x = 259,065.53

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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.