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Finding the Third Proportional to 74,018 and 162,093

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Solution

The third proportional to 74,018 and 162,093 is: 354,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,018 : 162,093 = 162,093 : x
  2. Step 2: Convert to fraction form
    74,018/162,093 = 162,093/x
  3. Step 3: Cross multiply
    74,018x = 162,093 × 162,093
  4. Step 4: Simplify right side
    74,018x = 26,274,140,649
  5. Step 5: Solve for x
    x = 26,274,140,649/74,018
  6. Step 6: Final answer
    x = 354,969.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.