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Finding the Third Proportional to 79,222.50 and 172,161

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Solution

The third proportional to 79,222.50 and 172,161 is: 374,128.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,222.50 : 172,161 = 172,161 : x
  2. Step 2: Convert to fraction form
    79,222.50/172,161 = 172,161/x
  3. Step 3: Cross multiply
    79,222.50x = 172,161 × 172,161
  4. Step 4: Simplify right side
    79,222.50x = 29,639,409,921
  5. Step 5: Solve for x
    x = 29,639,409,921/79,222.50
  6. Step 6: Final answer
    x = 374,128.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.