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Finding the Third Proportional to 71,576 and 107,436

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Solution

The third proportional to 71,576 and 107,436 is: 161,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,576 : 107,436 = 107,436 : x
  2. Step 2: Convert to fraction form
    71,576/107,436 = 107,436/x
  3. Step 3: Cross multiply
    71,576x = 107,436 × 107,436
  4. Step 4: Simplify right side
    71,576x = 11,542,494,096
  5. Step 5: Solve for x
    x = 11,542,494,096/71,576
  6. Step 6: Final answer
    x = 161,262.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.