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Finding the Third Proportional to 79,144 and 170,576

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Solution

The third proportional to 79,144 and 170,576 is: 367,635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,144 : 170,576 = 170,576 : x
  2. Step 2: Convert to fraction form
    79,144/170,576 = 170,576/x
  3. Step 3: Cross multiply
    79,144x = 170,576 × 170,576
  4. Step 4: Simplify right side
    79,144x = 29,096,171,776
  5. Step 5: Solve for x
    x = 29,096,171,776/79,144
  6. Step 6: Final answer
    x = 367,635.85

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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.