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Finding the Third Proportional to 49,706 and 106,827

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Solution

The third proportional to 49,706 and 106,827 is: 229,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,706 : 106,827 = 106,827 : x
  2. Step 2: Convert to fraction form
    49,706/106,827 = 106,827/x
  3. Step 3: Cross multiply
    49,706x = 106,827 × 106,827
  4. Step 4: Simplify right side
    49,706x = 11,412,007,929
  5. Step 5: Solve for x
    x = 11,412,007,929/49,706
  6. Step 6: Final answer
    x = 229,590.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.