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Finding the Third Proportional to 122,524.50 and 195,090.75

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Solution

The third proportional to 122,524.50 and 195,090.75 is: 310,635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,524.50 : 195,090.75 = 195,090.75 : x
  2. Step 2: Convert to fraction form
    122,524.50/195,090.75 = 195,090.75/x
  3. Step 3: Cross multiply
    122,524.50x = 195,090.75 × 195,090.75
  4. Step 4: Simplify right side
    122,524.50x = 38,060,400,735.56
  5. Step 5: Solve for x
    x = 38,060,400,735.56/122,524.50
  6. Step 6: Final answer
    x = 310,635.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.