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Finding the Third Proportional to 51,774 and 110,926

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Solution

The third proportional to 51,774 and 110,926 is: 237,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,774 : 110,926 = 110,926 : x
  2. Step 2: Convert to fraction form
    51,774/110,926 = 110,926/x
  3. Step 3: Cross multiply
    51,774x = 110,926 × 110,926
  4. Step 4: Simplify right side
    51,774x = 12,304,577,476
  5. Step 5: Solve for x
    x = 12,304,577,476/51,774
  6. Step 6: Final answer
    x = 237,659.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.