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Finding the Third Proportional to 80,232 and 113,064

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Solution

The third proportional to 80,232 and 113,064 is: 159,331.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,232 : 113,064 = 113,064 : x
  2. Step 2: Convert to fraction form
    80,232/113,064 = 113,064/x
  3. Step 3: Cross multiply
    80,232x = 113,064 × 113,064
  4. Step 4: Simplify right side
    80,232x = 12,783,468,096
  5. Step 5: Solve for x
    x = 12,783,468,096/80,232
  6. Step 6: Final answer
    x = 159,331.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.