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Finding the Third Proportional to 129,419.25 and 203,059.50

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Solution

The third proportional to 129,419.25 and 203,059.50 is: 318,601.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,419.25 : 203,059.50 = 203,059.50 : x
  2. Step 2: Convert to fraction form
    129,419.25/203,059.50 = 203,059.50/x
  3. Step 3: Cross multiply
    129,419.25x = 203,059.50 × 203,059.50
  4. Step 4: Simplify right side
    129,419.25x = 41,233,160,540.25
  5. Step 5: Solve for x
    x = 41,233,160,540.25/129,419.25
  6. Step 6: Final answer
    x = 318,601.45

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.