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Finding the Third Proportional to 34,136 and 50,232

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Solution

The third proportional to 34,136 and 50,232 is: 73,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,136 : 50,232 = 50,232 : x
  2. Step 2: Convert to fraction form
    34,136/50,232 = 50,232/x
  3. Step 3: Cross multiply
    34,136x = 50,232 × 50,232
  4. Step 4: Simplify right side
    34,136x = 2,523,253,824
  5. Step 5: Solve for x
    x = 2,523,253,824/34,136
  6. Step 6: Final answer
    x = 73,917.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.