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Finding the Third Proportional to 80,065.50 and 174,225

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Solution

The third proportional to 80,065.50 and 174,225 is: 379,118.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,065.50 : 174,225 = 174,225 : x
  2. Step 2: Convert to fraction form
    80,065.50/174,225 = 174,225/x
  3. Step 3: Cross multiply
    80,065.50x = 174,225 × 174,225
  4. Step 4: Simplify right side
    80,065.50x = 30,354,350,625
  5. Step 5: Solve for x
    x = 30,354,350,625/80,065.50
  6. Step 6: Final answer
    x = 379,118.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.