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Finding the Third Proportional to 80,741.02 and 173,820.94

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Solution

The third proportional to 80,741.02 and 173,820.94 is: 374,205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,741.02 : 173,820.94 = 173,820.94 : x
  2. Step 2: Convert to fraction form
    80,741.02/173,820.94 = 173,820.94/x
  3. Step 3: Cross multiply
    80,741.02x = 173,820.94 × 173,820.94
  4. Step 4: Simplify right side
    80,741.02x = 30,213,718,313.38
  5. Step 5: Solve for x
    x = 30,213,718,313.38/80,741.02
  6. Step 6: Final answer
    x = 374,205.30

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.