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Finding the Third Proportional to 49,707 and 104,544

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Solution

The third proportional to 49,707 and 104,544 is: 219,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,707 : 104,544 = 104,544 : x
  2. Step 2: Convert to fraction form
    49,707/104,544 = 104,544/x
  3. Step 3: Cross multiply
    49,707x = 104,544 × 104,544
  4. Step 4: Simplify right side
    49,707x = 10,929,447,936
  5. Step 5: Solve for x
    x = 10,929,447,936/49,707
  6. Step 6: Final answer
    x = 219,877.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.