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Finding the Third Proportional to 74,884 and 162,891

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Solution

The third proportional to 74,884 and 162,891 is: 354,327.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,884 : 162,891 = 162,891 : x
  2. Step 2: Convert to fraction form
    74,884/162,891 = 162,891/x
  3. Step 3: Cross multiply
    74,884x = 162,891 × 162,891
  4. Step 4: Simplify right side
    74,884x = 26,533,477,881
  5. Step 5: Solve for x
    x = 26,533,477,881/74,884
  6. Step 6: Final answer
    x = 354,327.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.