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Finding the Third Proportional to 54,926 and 119,924

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Solution

The third proportional to 54,926 and 119,924 is: 261,838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,926 : 119,924 = 119,924 : x
  2. Step 2: Convert to fraction form
    54,926/119,924 = 119,924/x
  3. Step 3: Cross multiply
    54,926x = 119,924 × 119,924
  4. Step 4: Simplify right side
    54,926x = 14,381,765,776
  5. Step 5: Solve for x
    x = 14,381,765,776/54,926
  6. Step 6: Final answer
    x = 261,838.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.