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Finding the Third Proportional to 98,235 and 150,172

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Solution

The third proportional to 98,235 and 150,172 is: 229,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,235 : 150,172 = 150,172 : x
  2. Step 2: Convert to fraction form
    98,235/150,172 = 150,172/x
  3. Step 3: Cross multiply
    98,235x = 150,172 × 150,172
  4. Step 4: Simplify right side
    98,235x = 22,551,629,584
  5. Step 5: Solve for x
    x = 22,551,629,584/98,235
  6. Step 6: Final answer
    x = 229,568.17

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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.