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Finding the Third Proportional to 51,161 and 111,607

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Solution

The third proportional to 51,161 and 111,607 is: 243,469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,161 : 111,607 = 111,607 : x
  2. Step 2: Convert to fraction form
    51,161/111,607 = 111,607/x
  3. Step 3: Cross multiply
    51,161x = 111,607 × 111,607
  4. Step 4: Simplify right side
    51,161x = 12,456,122,449
  5. Step 5: Solve for x
    x = 12,456,122,449/51,161
  6. Step 6: Final answer
    x = 243,469.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.