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Finding the Third Proportional to 85,168 and 128,936

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Solution

The third proportional to 85,168 and 128,936 is: 195,196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,168 : 128,936 = 128,936 : x
  2. Step 2: Convert to fraction form
    85,168/128,936 = 128,936/x
  3. Step 3: Cross multiply
    85,168x = 128,936 × 128,936
  4. Step 4: Simplify right side
    85,168x = 16,624,492,096
  5. Step 5: Solve for x
    x = 16,624,492,096/85,168
  6. Step 6: Final answer
    x = 195,196.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.