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Finding the Third Proportional to 49,028 and 103,834

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Solution

The third proportional to 49,028 and 103,834 is: 219,904.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,028 : 103,834 = 103,834 : x
  2. Step 2: Convert to fraction form
    49,028/103,834 = 103,834/x
  3. Step 3: Cross multiply
    49,028x = 103,834 × 103,834
  4. Step 4: Simplify right side
    49,028x = 10,781,499,556
  5. Step 5: Solve for x
    x = 10,781,499,556/49,028
  6. Step 6: Final answer
    x = 219,904.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.