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Finding the Third Proportional to 79,576 and 171,604

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Solution

The third proportional to 79,576 and 171,604 is: 370,060.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,576 : 171,604 = 171,604 : x
  2. Step 2: Convert to fraction form
    79,576/171,604 = 171,604/x
  3. Step 3: Cross multiply
    79,576x = 171,604 × 171,604
  4. Step 4: Simplify right side
    79,576x = 29,447,932,816
  5. Step 5: Solve for x
    x = 29,447,932,816/79,576
  6. Step 6: Final answer
    x = 370,060.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.