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Finding the Third Proportional to 72,081 and 165,910.50

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Solution

The third proportional to 72,081 and 165,910.50 is: 381,880.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,081 : 165,910.50 = 165,910.50 : x
  2. Step 2: Convert to fraction form
    72,081/165,910.50 = 165,910.50/x
  3. Step 3: Cross multiply
    72,081x = 165,910.50 × 165,910.50
  4. Step 4: Simplify right side
    72,081x = 27,526,294,010.25
  5. Step 5: Solve for x
    x = 27,526,294,010.25/72,081
  6. Step 6: Final answer
    x = 381,880.02

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.