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Finding the Third Proportional to 124,860 and 273,075

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Solution

The third proportional to 124,860 and 273,075 is: 597,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,860 : 273,075 = 273,075 : x
  2. Step 2: Convert to fraction form
    124,860/273,075 = 273,075/x
  3. Step 3: Cross multiply
    124,860x = 273,075 × 273,075
  4. Step 4: Simplify right side
    124,860x = 74,569,955,625
  5. Step 5: Solve for x
    x = 74,569,955,625/124,860
  6. Step 6: Final answer
    x = 597,228.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.