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Finding the Third Proportional to 105,339.75 and 154,067.25

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Solution

The third proportional to 105,339.75 and 154,067.25 is: 225,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,339.75 : 154,067.25 = 154,067.25 : x
  2. Step 2: Convert to fraction form
    105,339.75/154,067.25 = 154,067.25/x
  3. Step 3: Cross multiply
    105,339.75x = 154,067.25 × 154,067.25
  4. Step 4: Simplify right side
    105,339.75x = 23,736,717,522.56
  5. Step 5: Solve for x
    x = 23,736,717,522.56/105,339.75
  6. Step 6: Final answer
    x = 225,334.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.