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Finding the Third Proportional to 51,504 and 108,543

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Solution

The third proportional to 51,504 and 108,543 is: 228,750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,504 : 108,543 = 108,543 : x
  2. Step 2: Convert to fraction form
    51,504/108,543 = 108,543/x
  3. Step 3: Cross multiply
    51,504x = 108,543 × 108,543
  4. Step 4: Simplify right side
    51,504x = 11,781,582,849
  5. Step 5: Solve for x
    x = 11,781,582,849/51,504
  6. Step 6: Final answer
    x = 228,750.83

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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.