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Finding the Third Proportional to 149,121 and 225,852.75

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Solution

The third proportional to 149,121 and 225,852.75 is: 342,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,121 : 225,852.75 = 225,852.75 : x
  2. Step 2: Convert to fraction form
    149,121/225,852.75 = 225,852.75/x
  3. Step 3: Cross multiply
    149,121x = 225,852.75 × 225,852.75
  4. Step 4: Simplify right side
    149,121x = 51,009,464,682.56
  5. Step 5: Solve for x
    x = 51,009,464,682.56/149,121
  6. Step 6: Final answer
    x = 342,067.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.