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Finding the Third Proportional to 122,636 and 173,910

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Solution

The third proportional to 122,636 and 173,910 is: 246,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,636 : 173,910 = 173,910 : x
  2. Step 2: Convert to fraction form
    122,636/173,910 = 173,910/x
  3. Step 3: Cross multiply
    122,636x = 173,910 × 173,910
  4. Step 4: Simplify right side
    122,636x = 30,244,688,100
  5. Step 5: Solve for x
    x = 30,244,688,100/122,636
  6. Step 6: Final answer
    x = 246,621.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.