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Finding the Third Proportional to 51,592 and 82,444

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Solution

The third proportional to 51,592 and 82,444 is: 131,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,592 : 82,444 = 82,444 : x
  2. Step 2: Convert to fraction form
    51,592/82,444 = 82,444/x
  3. Step 3: Cross multiply
    51,592x = 82,444 × 82,444
  4. Step 4: Simplify right side
    51,592x = 6,797,013,136
  5. Step 5: Solve for x
    x = 6,797,013,136/51,592
  6. Step 6: Final answer
    x = 131,745.49

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.