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Finding the Third Proportional to 49,544 and 106,984

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Solution

The third proportional to 49,544 and 106,984 is: 231,018.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,544 : 106,984 = 106,984 : x
  2. Step 2: Convert to fraction form
    49,544/106,984 = 106,984/x
  3. Step 3: Cross multiply
    49,544x = 106,984 × 106,984
  4. Step 4: Simplify right side
    49,544x = 11,445,576,256
  5. Step 5: Solve for x
    x = 11,445,576,256/49,544
  6. Step 6: Final answer
    x = 231,018.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.