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Finding the Third Proportional to 76,239 and 167,197

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Solution

The third proportional to 76,239 and 167,197 is: 366,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,239 : 167,197 = 167,197 : x
  2. Step 2: Convert to fraction form
    76,239/167,197 = 167,197/x
  3. Step 3: Cross multiply
    76,239x = 167,197 × 167,197
  4. Step 4: Simplify right side
    76,239x = 27,954,836,809
  5. Step 5: Solve for x
    x = 27,954,836,809/76,239
  6. Step 6: Final answer
    x = 366,673.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.