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Finding the Third Proportional to 71,843 and 156,122

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Solution

The third proportional to 71,843 and 156,122 is: 339,268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,843 : 156,122 = 156,122 : x
  2. Step 2: Convert to fraction form
    71,843/156,122 = 156,122/x
  3. Step 3: Cross multiply
    71,843x = 156,122 × 156,122
  4. Step 4: Simplify right side
    71,843x = 24,374,078,884
  5. Step 5: Solve for x
    x = 24,374,078,884/71,843
  6. Step 6: Final answer
    x = 339,268.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.