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Finding the Third Proportional to 51,872 and 113,904

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Solution

The third proportional to 51,872 and 113,904 is: 250,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,872 : 113,904 = 113,904 : x
  2. Step 2: Convert to fraction form
    51,872/113,904 = 113,904/x
  3. Step 3: Cross multiply
    51,872x = 113,904 × 113,904
  4. Step 4: Simplify right side
    51,872x = 12,974,121,216
  5. Step 5: Solve for x
    x = 12,974,121,216/51,872
  6. Step 6: Final answer
    x = 250,118.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.