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Finding the Third Proportional to 122,203.69 and 186,939.56

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Solution

The third proportional to 122,203.69 and 186,939.56 is: 285,968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,203.69 : 186,939.56 = 186,939.56 : x
  2. Step 2: Convert to fraction form
    122,203.69/186,939.56 = 186,939.56/x
  3. Step 3: Cross multiply
    122,203.69x = 186,939.56 × 186,939.56
  4. Step 4: Simplify right side
    122,203.69x = 34,946,400,027.69
  5. Step 5: Solve for x
    x = 34,946,400,027.69/122,203.69
  6. Step 6: Final answer
    x = 285,968.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.