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Finding the Third Proportional to 51,851 and 105,889

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Solution

The third proportional to 51,851 and 105,889 is: 216,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,851 : 105,889 = 105,889 : x
  2. Step 2: Convert to fraction form
    51,851/105,889 = 105,889/x
  3. Step 3: Cross multiply
    51,851x = 105,889 × 105,889
  4. Step 4: Simplify right side
    51,851x = 11,212,480,321
  5. Step 5: Solve for x
    x = 11,212,480,321/51,851
  6. Step 6: Final answer
    x = 216,244.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.