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Finding the Third Proportional to 124,846.50 and 273,049.50

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Solution

The third proportional to 124,846.50 and 273,049.50 is: 597,181.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,846.50 : 273,049.50 = 273,049.50 : x
  2. Step 2: Convert to fraction form
    124,846.50/273,049.50 = 273,049.50/x
  3. Step 3: Cross multiply
    124,846.50x = 273,049.50 × 273,049.50
  4. Step 4: Simplify right side
    124,846.50x = 74,556,029,450.25
  5. Step 5: Solve for x
    x = 74,556,029,450.25/124,846.50
  6. Step 6: Final answer
    x = 597,181.57

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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.