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Finding the Third Proportional to 80,586.77 and 173,555.16

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Solution

The third proportional to 80,586.77 and 173,555.16 is: 373,775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,586.77 : 173,555.16 = 173,555.16 : x
  2. Step 2: Convert to fraction form
    80,586.77/173,555.16 = 173,555.16/x
  3. Step 3: Cross multiply
    80,586.77x = 173,555.16 × 173,555.16
  4. Step 4: Simplify right side
    80,586.77x = 30,121,392,260.96
  5. Step 5: Solve for x
    x = 30,121,392,260.96/80,586.77
  6. Step 6: Final answer
    x = 373,775.88

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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.