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Finding the Third Proportional to 98,235 and 150,173

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Solution

The third proportional to 98,235 and 150,173 is: 229,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,235 : 150,173 = 150,173 : x
  2. Step 2: Convert to fraction form
    98,235/150,173 = 150,173/x
  3. Step 3: Cross multiply
    98,235x = 150,173 × 150,173
  4. Step 4: Simplify right side
    98,235x = 22,551,929,929
  5. Step 5: Solve for x
    x = 22,551,929,929/98,235
  6. Step 6: Final answer
    x = 229,571.23

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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.