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Finding the Third Proportional to 79,222.50 and 172,107

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Solution

The third proportional to 79,222.50 and 172,107 is: 373,894.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,222.50 : 172,107 = 172,107 : x
  2. Step 2: Convert to fraction form
    79,222.50/172,107 = 172,107/x
  3. Step 3: Cross multiply
    79,222.50x = 172,107 × 172,107
  4. Step 4: Simplify right side
    79,222.50x = 29,620,819,449
  5. Step 5: Solve for x
    x = 29,620,819,449/79,222.50
  6. Step 6: Final answer
    x = 373,894.03

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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.