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Finding the Third Proportional to 49,858 and 107,543

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Solution

The third proportional to 49,858 and 107,543 is: 231,968.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,858 : 107,543 = 107,543 : x
  2. Step 2: Convert to fraction form
    49,858/107,543 = 107,543/x
  3. Step 3: Cross multiply
    49,858x = 107,543 × 107,543
  4. Step 4: Simplify right side
    49,858x = 11,565,496,849
  5. Step 5: Solve for x
    x = 11,565,496,849/49,858
  6. Step 6: Final answer
    x = 231,968.73

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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.