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Finding the Third Proportional to 78,761 and 167,235

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Solution

The third proportional to 78,761 and 167,235 is: 355,093.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,761 : 167,235 = 167,235 : x
  2. Step 2: Convert to fraction form
    78,761/167,235 = 167,235/x
  3. Step 3: Cross multiply
    78,761x = 167,235 × 167,235
  4. Step 4: Simplify right side
    78,761x = 27,967,545,225
  5. Step 5: Solve for x
    x = 27,967,545,225/78,761
  6. Step 6: Final answer
    x = 355,093.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.