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Finding the Third Proportional to 112,529.25 and 265,632.75

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Solution

The third proportional to 112,529.25 and 265,632.75 is: 627,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,529.25 : 265,632.75 = 265,632.75 : x
  2. Step 2: Convert to fraction form
    112,529.25/265,632.75 = 265,632.75/x
  3. Step 3: Cross multiply
    112,529.25x = 265,632.75 × 265,632.75
  4. Step 4: Simplify right side
    112,529.25x = 70,560,757,872.56
  5. Step 5: Solve for x
    x = 70,560,757,872.56/112,529.25
  6. Step 6: Final answer
    x = 627,043.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.