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Finding the Third Proportional to 80,601 and 173,095.50

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Solution

The third proportional to 80,601 and 173,095.50 is: 371,733.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,601 : 173,095.50 = 173,095.50 : x
  2. Step 2: Convert to fraction form
    80,601/173,095.50 = 173,095.50/x
  3. Step 3: Cross multiply
    80,601x = 173,095.50 × 173,095.50
  4. Step 4: Simplify right side
    80,601x = 29,962,052,120.25
  5. Step 5: Solve for x
    x = 29,962,052,120.25/80,601
  6. Step 6: Final answer
    x = 371,733.01

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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.