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Finding the Third Proportional to 105,672 and 143,925

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Solution

The third proportional to 105,672 and 143,925 is: 196,025.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,672 : 143,925 = 143,925 : x
  2. Step 2: Convert to fraction form
    105,672/143,925 = 143,925/x
  3. Step 3: Cross multiply
    105,672x = 143,925 × 143,925
  4. Step 4: Simplify right side
    105,672x = 20,714,405,625
  5. Step 5: Solve for x
    x = 20,714,405,625/105,672
  6. Step 6: Final answer
    x = 196,025.49

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.