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Finding the Third Proportional to 79,021.50 and 171,435

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Solution

The third proportional to 79,021.50 and 171,435 is: 371,923.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,021.50 : 171,435 = 171,435 : x
  2. Step 2: Convert to fraction form
    79,021.50/171,435 = 171,435/x
  3. Step 3: Cross multiply
    79,021.50x = 171,435 × 171,435
  4. Step 4: Simplify right side
    79,021.50x = 29,389,959,225
  5. Step 5: Solve for x
    x = 29,389,959,225/79,021.50
  6. Step 6: Final answer
    x = 371,923.58

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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.