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Finding the Third Proportional to 157,467.38 and 162,003.38

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Solution

The third proportional to 157,467.38 and 162,003.38 is: 166,670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,467.38 : 162,003.38 = 162,003.38 : x
  2. Step 2: Convert to fraction form
    157,467.38/162,003.38 = 162,003.38/x
  3. Step 3: Cross multiply
    157,467.38x = 162,003.38 × 162,003.38
  4. Step 4: Simplify right side
    157,467.38x = 26,245,093,511.39
  5. Step 5: Solve for x
    x = 26,245,093,511.39/157,467.38
  6. Step 6: Final answer
    x = 166,670.04

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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.