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Finding the Third Proportional to 55,926 and 121,698

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Solution

The third proportional to 55,926 and 121,698 is: 264,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,926 : 121,698 = 121,698 : x
  2. Step 2: Convert to fraction form
    55,926/121,698 = 121,698/x
  3. Step 3: Cross multiply
    55,926x = 121,698 × 121,698
  4. Step 4: Simplify right side
    55,926x = 14,810,403,204
  5. Step 5: Solve for x
    x = 14,810,403,204/55,926
  6. Step 6: Final answer
    x = 264,821.43

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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.