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Finding the Third Proportional to 110,096 and 168,696

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Solution

The third proportional to 110,096 and 168,696 is: 258,486.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,096 : 168,696 = 168,696 : x
  2. Step 2: Convert to fraction form
    110,096/168,696 = 168,696/x
  3. Step 3: Cross multiply
    110,096x = 168,696 × 168,696
  4. Step 4: Simplify right side
    110,096x = 28,458,340,416
  5. Step 5: Solve for x
    x = 28,458,340,416/110,096
  6. Step 6: Final answer
    x = 258,486.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.