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Finding the Third Proportional to 100,275.75 and 150,435.56

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Solution

The third proportional to 100,275.75 and 150,435.56 is: 225,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,275.75 : 150,435.56 = 150,435.56 : x
  2. Step 2: Convert to fraction form
    100,275.75/150,435.56 = 150,435.56/x
  3. Step 3: Cross multiply
    100,275.75x = 150,435.56 × 150,435.56
  4. Step 4: Simplify right side
    100,275.75x = 22,630,858,464.69
  5. Step 5: Solve for x
    x = 22,630,858,464.69/100,275.75
  6. Step 6: Final answer
    x = 225,686.25

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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.