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Finding the Third Proportional to 103,085 and 150,936

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Solution

The third proportional to 103,085 and 150,936 is: 220,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,085 : 150,936 = 150,936 : x
  2. Step 2: Convert to fraction form
    103,085/150,936 = 150,936/x
  3. Step 3: Cross multiply
    103,085x = 150,936 × 150,936
  4. Step 4: Simplify right side
    103,085x = 22,781,676,096
  5. Step 5: Solve for x
    x = 22,781,676,096/103,085
  6. Step 6: Final answer
    x = 220,998.94

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.