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Finding the Third Proportional to 100,863 and 156,168

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Solution

The third proportional to 100,863 and 156,168 is: 241,797.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,863 : 156,168 = 156,168 : x
  2. Step 2: Convert to fraction form
    100,863/156,168 = 156,168/x
  3. Step 3: Cross multiply
    100,863x = 156,168 × 156,168
  4. Step 4: Simplify right side
    100,863x = 24,388,444,224
  5. Step 5: Solve for x
    x = 24,388,444,224/100,863
  6. Step 6: Final answer
    x = 241,797.73

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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.