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Finding the Third Proportional to 49,863 and 107,553

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Solution

The third proportional to 49,863 and 107,553 is: 231,988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,863 : 107,553 = 107,553 : x
  2. Step 2: Convert to fraction form
    49,863/107,553 = 107,553/x
  3. Step 3: Cross multiply
    49,863x = 107,553 × 107,553
  4. Step 4: Simplify right side
    49,863x = 11,567,647,809
  5. Step 5: Solve for x
    x = 11,567,647,809/49,863
  6. Step 6: Final answer
    x = 231,988.60

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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.