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Finding the Third Proportional to 124,869 and 273,051

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Solution

The third proportional to 124,869 and 273,051 is: 597,080.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,869 : 273,051 = 273,051 : x
  2. Step 2: Convert to fraction form
    124,869/273,051 = 273,051/x
  3. Step 3: Cross multiply
    124,869x = 273,051 × 273,051
  4. Step 4: Simplify right side
    124,869x = 74,556,848,601
  5. Step 5: Solve for x
    x = 74,556,848,601/124,869
  6. Step 6: Final answer
    x = 597,080.53

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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.