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Finding the Third Proportional to 69,194 and 107,019

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Solution

The third proportional to 69,194 and 107,019 is: 165,521.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,194 : 107,019 = 107,019 : x
  2. Step 2: Convert to fraction form
    69,194/107,019 = 107,019/x
  3. Step 3: Cross multiply
    69,194x = 107,019 × 107,019
  4. Step 4: Simplify right side
    69,194x = 11,453,066,361
  5. Step 5: Solve for x
    x = 11,453,066,361/69,194
  6. Step 6: Final answer
    x = 165,521.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.