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Finding the Third Proportional to 51,614 and 113,064

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Solution

The third proportional to 51,614 and 113,064 is: 247,674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,614 : 113,064 = 113,064 : x
  2. Step 2: Convert to fraction form
    51,614/113,064 = 113,064/x
  3. Step 3: Cross multiply
    51,614x = 113,064 × 113,064
  4. Step 4: Simplify right side
    51,614x = 12,783,468,096
  5. Step 5: Solve for x
    x = 12,783,468,096/51,614
  6. Step 6: Final answer
    x = 247,674.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.