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Finding the Third Proportional to 129,487.50 and 193,659.75

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Solution

The third proportional to 129,487.50 and 193,659.75 is: 289,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,487.50 : 193,659.75 = 193,659.75 : x
  2. Step 2: Convert to fraction form
    129,487.50/193,659.75 = 193,659.75/x
  3. Step 3: Cross multiply
    129,487.50x = 193,659.75 × 193,659.75
  4. Step 4: Simplify right side
    129,487.50x = 37,504,098,770.06
  5. Step 5: Solve for x
    x = 37,504,098,770.06/129,487.50
  6. Step 6: Final answer
    x = 289,634.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.