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Finding the Third Proportional to 105,069 and 144,481.50

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Solution

The third proportional to 105,069 and 144,481.50 is: 198,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,069 : 144,481.50 = 144,481.50 : x
  2. Step 2: Convert to fraction form
    105,069/144,481.50 = 144,481.50/x
  3. Step 3: Cross multiply
    105,069x = 144,481.50 × 144,481.50
  4. Step 4: Simplify right side
    105,069x = 20,874,903,842.25
  5. Step 5: Solve for x
    x = 20,874,903,842.25/105,069
  6. Step 6: Final answer
    x = 198,678.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.