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Finding the Third Proportional to 49,102 and 104,042

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Solution

The third proportional to 49,102 and 104,042 is: 220,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,102 : 104,042 = 104,042 : x
  2. Step 2: Convert to fraction form
    49,102/104,042 = 104,042/x
  3. Step 3: Cross multiply
    49,102x = 104,042 × 104,042
  4. Step 4: Simplify right side
    49,102x = 10,824,737,764
  5. Step 5: Solve for x
    x = 10,824,737,764/49,102
  6. Step 6: Final answer
    x = 220,454.11

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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.