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Finding the Third Proportional to 49,070 and 103,990

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Solution

The third proportional to 49,070 and 103,990 is: 220,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,070 : 103,990 = 103,990 : x
  2. Step 2: Convert to fraction form
    49,070/103,990 = 103,990/x
  3. Step 3: Cross multiply
    49,070x = 103,990 × 103,990
  4. Step 4: Simplify right side
    49,070x = 10,813,920,100
  5. Step 5: Solve for x
    x = 10,813,920,100/49,070
  6. Step 6: Final answer
    x = 220,377.42

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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.