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Finding the Third Proportional to 126,048.38 and 271,212.75

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Solution

The third proportional to 126,048.38 and 271,212.75 is: 583,556.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,048.38 : 271,212.75 = 271,212.75 : x
  2. Step 2: Convert to fraction form
    126,048.38/271,212.75 = 271,212.75/x
  3. Step 3: Cross multiply
    126,048.38x = 271,212.75 × 271,212.75
  4. Step 4: Simplify right side
    126,048.38x = 73,556,355,762.56
  5. Step 5: Solve for x
    x = 73,556,355,762.56/126,048.38
  6. Step 6: Final answer
    x = 583,556.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.