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Finding the Third Proportional to 52,944 and 104,544

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Solution

The third proportional to 52,944 and 104,544 is: 206,434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,944 : 104,544 = 104,544 : x
  2. Step 2: Convert to fraction form
    52,944/104,544 = 104,544/x
  3. Step 3: Cross multiply
    52,944x = 104,544 × 104,544
  4. Step 4: Simplify right side
    52,944x = 10,929,447,936
  5. Step 5: Solve for x
    x = 10,929,447,936/52,944
  6. Step 6: Final answer
    x = 206,434.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.