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Finding the Third Proportional to 54,857 and 81,926

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Solution

The third proportional to 54,857 and 81,926 is: 122,352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,857 : 81,926 = 81,926 : x
  2. Step 2: Convert to fraction form
    54,857/81,926 = 81,926/x
  3. Step 3: Cross multiply
    54,857x = 81,926 × 81,926
  4. Step 4: Simplify right side
    54,857x = 6,711,869,476
  5. Step 5: Solve for x
    x = 6,711,869,476/54,857
  6. Step 6: Final answer
    x = 122,352.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.