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Finding the Third Proportional to 51,880 and 82,355

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Solution

The third proportional to 51,880 and 82,355 is: 130,731.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,880 : 82,355 = 82,355 : x
  2. Step 2: Convert to fraction form
    51,880/82,355 = 82,355/x
  3. Step 3: Cross multiply
    51,880x = 82,355 × 82,355
  4. Step 4: Simplify right side
    51,880x = 6,782,346,025
  5. Step 5: Solve for x
    x = 6,782,346,025/51,880
  6. Step 6: Final answer
    x = 130,731.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.