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Finding the Third Proportional to 80,136 and 116,064

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Solution

The third proportional to 80,136 and 116,064 is: 168,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,136 : 116,064 = 116,064 : x
  2. Step 2: Convert to fraction form
    80,136/116,064 = 116,064/x
  3. Step 3: Cross multiply
    80,136x = 116,064 × 116,064
  4. Step 4: Simplify right side
    80,136x = 13,470,852,096
  5. Step 5: Solve for x
    x = 13,470,852,096/80,136
  6. Step 6: Final answer
    x = 168,099.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.