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Finding the Third Proportional to 126,401.50 and 273,075

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Solution

The third proportional to 126,401.50 and 273,075 is: 589,945.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,401.50 : 273,075 = 273,075 : x
  2. Step 2: Convert to fraction form
    126,401.50/273,075 = 273,075/x
  3. Step 3: Cross multiply
    126,401.50x = 273,075 × 273,075
  4. Step 4: Simplify right side
    126,401.50x = 74,569,955,625
  5. Step 5: Solve for x
    x = 74,569,955,625/126,401.50
  6. Step 6: Final answer
    x = 589,945.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.