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Finding the Third Proportional to 126,444 and 190,002

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Solution

The third proportional to 126,444 and 190,002 is: 285,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,444 : 190,002 = 190,002 : x
  2. Step 2: Convert to fraction form
    126,444/190,002 = 190,002/x
  3. Step 3: Cross multiply
    126,444x = 190,002 × 190,002
  4. Step 4: Simplify right side
    126,444x = 36,100,760,004
  5. Step 5: Solve for x
    x = 36,100,760,004/126,444
  6. Step 6: Final answer
    x = 285,507.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.