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Finding the Third Proportional to 85,348.50 and 122,939.25

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Solution

The third proportional to 85,348.50 and 122,939.25 is: 177,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,348.50 : 122,939.25 = 122,939.25 : x
  2. Step 2: Convert to fraction form
    85,348.50/122,939.25 = 122,939.25/x
  3. Step 3: Cross multiply
    85,348.50x = 122,939.25 × 122,939.25
  4. Step 4: Simplify right side
    85,348.50x = 15,114,059,190.56
  5. Step 5: Solve for x
    x = 15,114,059,190.56/85,348.50
  6. Step 6: Final answer
    x = 177,086.41

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.