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Finding the Third Proportional to 51,161.63 and 104,859

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Solution

The third proportional to 51,161.63 and 104,859 is: 214,915.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,161.63 : 104,859 = 104,859 : x
  2. Step 2: Convert to fraction form
    51,161.63/104,859 = 104,859/x
  3. Step 3: Cross multiply
    51,161.63x = 104,859 × 104,859
  4. Step 4: Simplify right side
    51,161.63x = 10,995,409,881
  5. Step 5: Solve for x
    x = 10,995,409,881/51,161.63
  6. Step 6: Final answer
    x = 214,915.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.