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Finding the Third Proportional to 80,176.03 and 173,064

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Solution

The third proportional to 80,176.03 and 173,064 is: 373,567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,176.03 : 173,064 = 173,064 : x
  2. Step 2: Convert to fraction form
    80,176.03/173,064 = 173,064/x
  3. Step 3: Cross multiply
    80,176.03x = 173,064 × 173,064
  4. Step 4: Simplify right side
    80,176.03x = 29,951,148,096
  5. Step 5: Solve for x
    x = 29,951,148,096/80,176.03
  6. Step 6: Final answer
    x = 373,567.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.