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Finding the Third Proportional to 76,668 and 168,096

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Solution

The third proportional to 76,668 and 168,096 is: 368,553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,668 : 168,096 = 168,096 : x
  2. Step 2: Convert to fraction form
    76,668/168,096 = 168,096/x
  3. Step 3: Cross multiply
    76,668x = 168,096 × 168,096
  4. Step 4: Simplify right side
    76,668x = 28,256,265,216
  5. Step 5: Solve for x
    x = 28,256,265,216/76,668
  6. Step 6: Final answer
    x = 368,553.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.