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Finding the Third Proportional to 49,926 and 107,860

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Solution

The third proportional to 49,926 and 107,860 is: 233,020.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,926 : 107,860 = 107,860 : x
  2. Step 2: Convert to fraction form
    49,926/107,860 = 107,860/x
  3. Step 3: Cross multiply
    49,926x = 107,860 × 107,860
  4. Step 4: Simplify right side
    49,926x = 11,633,779,600
  5. Step 5: Solve for x
    x = 11,633,779,600/49,926
  6. Step 6: Final answer
    x = 233,020.46

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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.