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Finding the Third Proportional to 126,327.94 and 190,004.63

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Solution

The third proportional to 126,327.94 and 190,004.63 is: 285,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,327.94 : 190,004.63 = 190,004.63 : x
  2. Step 2: Convert to fraction form
    126,327.94/190,004.63 = 190,004.63/x
  3. Step 3: Cross multiply
    126,327.94x = 190,004.63 × 190,004.63
  4. Step 4: Simplify right side
    126,327.94x = 36,101,757,521.39
  5. Step 5: Solve for x
    x = 36,101,757,521.39/126,327.94
  6. Step 6: Final answer
    x = 285,778.10

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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.