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Finding the Third Proportional to 124,936.25 and 273,172.75

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Solution

The third proportional to 124,936.25 and 273,172.75 is: 597,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,936.25 : 273,172.75 = 273,172.75 : x
  2. Step 2: Convert to fraction form
    124,936.25/273,172.75 = 273,172.75/x
  3. Step 3: Cross multiply
    124,936.25x = 273,172.75 × 273,172.75
  4. Step 4: Simplify right side
    124,936.25x = 74,623,351,342.56
  5. Step 5: Solve for x
    x = 74,623,351,342.56/124,936.25
  6. Step 6: Final answer
    x = 597,291.43

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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.