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Finding the Third Proportional to 49,821 and 107,783

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Solution

The third proportional to 49,821 and 107,783 is: 233,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,821 : 107,783 = 107,783 : x
  2. Step 2: Convert to fraction form
    49,821/107,783 = 107,783/x
  3. Step 3: Cross multiply
    49,821x = 107,783 × 107,783
  4. Step 4: Simplify right side
    49,821x = 11,617,175,089
  5. Step 5: Solve for x
    x = 11,617,175,089/49,821
  6. Step 6: Final answer
    x = 233,178.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.