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Finding the Third Proportional to 65,673 and 139,194

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Solution

The third proportional to 65,673 and 139,194 is: 295,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,673 : 139,194 = 139,194 : x
  2. Step 2: Convert to fraction form
    65,673/139,194 = 139,194/x
  3. Step 3: Cross multiply
    65,673x = 139,194 × 139,194
  4. Step 4: Simplify right side
    65,673x = 19,374,969,636
  5. Step 5: Solve for x
    x = 19,374,969,636/65,673
  6. Step 6: Final answer
    x = 295,021.85

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.