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Finding the Third Proportional to 69,360 and 107,162

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Solution

The third proportional to 69,360 and 107,162 is: 165,566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,360 : 107,162 = 107,162 : x
  2. Step 2: Convert to fraction form
    69,360/107,162 = 107,162/x
  3. Step 3: Cross multiply
    69,360x = 107,162 × 107,162
  4. Step 4: Simplify right side
    69,360x = 11,483,694,244
  5. Step 5: Solve for x
    x = 11,483,694,244/69,360
  6. Step 6: Final answer
    x = 165,566.53

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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.