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Finding the Third Proportional to 43,584 and 92,064

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Solution

The third proportional to 43,584 and 92,064 is: 194,469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,584 : 92,064 = 92,064 : x
  2. Step 2: Convert to fraction form
    43,584/92,064 = 92,064/x
  3. Step 3: Cross multiply
    43,584x = 92,064 × 92,064
  4. Step 4: Simplify right side
    43,584x = 8,475,780,096
  5. Step 5: Solve for x
    x = 8,475,780,096/43,584
  6. Step 6: Final answer
    x = 194,469.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.