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Finding the Third Proportional to 74,406 and 156,093

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Solution

The third proportional to 74,406 and 156,093 is: 327,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,406 : 156,093 = 156,093 : x
  2. Step 2: Convert to fraction form
    74,406/156,093 = 156,093/x
  3. Step 3: Cross multiply
    74,406x = 156,093 × 156,093
  4. Step 4: Simplify right side
    74,406x = 24,365,024,649
  5. Step 5: Solve for x
    x = 24,365,024,649/74,406
  6. Step 6: Final answer
    x = 327,460.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.