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Finding the Third Proportional to 157,469 and 162,005

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Solution

The third proportional to 157,469 and 162,005 is: 166,671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,469 : 162,005 = 162,005 : x
  2. Step 2: Convert to fraction form
    157,469/162,005 = 162,005/x
  3. Step 3: Cross multiply
    157,469x = 162,005 × 162,005
  4. Step 4: Simplify right side
    157,469x = 26,245,620,025
  5. Step 5: Solve for x
    x = 26,245,620,025/157,469
  6. Step 6: Final answer
    x = 166,671.66

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.