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Finding the Third Proportional to 122,690 and 167,619

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Solution

The third proportional to 122,690 and 167,619 is: 229,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,690 : 167,619 = 167,619 : x
  2. Step 2: Convert to fraction form
    122,690/167,619 = 167,619/x
  3. Step 3: Cross multiply
    122,690x = 167,619 × 167,619
  4. Step 4: Simplify right side
    122,690x = 28,096,129,161
  5. Step 5: Solve for x
    x = 28,096,129,161/122,690
  6. Step 6: Final answer
    x = 229,000.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.