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Finding the Third Proportional to 105,219 and 143,751.38

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Solution

The third proportional to 105,219 and 143,751.38 is: 196,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,219 : 143,751.38 = 143,751.38 : x
  2. Step 2: Convert to fraction form
    105,219/143,751.38 = 143,751.38/x
  3. Step 3: Cross multiply
    105,219x = 143,751.38 × 143,751.38
  4. Step 4: Simplify right side
    105,219x = 20,664,457,814.39
  5. Step 5: Solve for x
    x = 20,664,457,814.39/105,219
  6. Step 6: Final answer
    x = 196,394.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.