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Finding the Third Proportional to 51,753 and 107,880

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Solution

The third proportional to 51,753 and 107,880 is: 224,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,753 : 107,880 = 107,880 : x
  2. Step 2: Convert to fraction form
    51,753/107,880 = 107,880/x
  3. Step 3: Cross multiply
    51,753x = 107,880 × 107,880
  4. Step 4: Simplify right side
    51,753x = 11,638,094,400
  5. Step 5: Solve for x
    x = 11,638,094,400/51,753
  6. Step 6: Final answer
    x = 224,877.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.