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Finding the Third Proportional to 51,936 and 80,580

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Solution

The third proportional to 51,936 and 80,580 is: 125,021.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,936 : 80,580 = 80,580 : x
  2. Step 2: Convert to fraction form
    51,936/80,580 = 80,580/x
  3. Step 3: Cross multiply
    51,936x = 80,580 × 80,580
  4. Step 4: Simplify right side
    51,936x = 6,493,136,400
  5. Step 5: Solve for x
    x = 6,493,136,400/51,936
  6. Step 6: Final answer
    x = 125,021.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.