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Finding the Third Proportional to 126,241.50 and 275,082

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Solution

The third proportional to 126,241.50 and 275,082 is: 599,407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,241.50 : 275,082 = 275,082 : x
  2. Step 2: Convert to fraction form
    126,241.50/275,082 = 275,082/x
  3. Step 3: Cross multiply
    126,241.50x = 275,082 × 275,082
  4. Step 4: Simplify right side
    126,241.50x = 75,670,106,724
  5. Step 5: Solve for x
    x = 75,670,106,724/126,241.50
  6. Step 6: Final answer
    x = 599,407.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.