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Finding the Third Proportional to 51,344 and 110,278

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Solution

The third proportional to 51,344 and 110,278 is: 236,858.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,344 : 110,278 = 110,278 : x
  2. Step 2: Convert to fraction form
    51,344/110,278 = 110,278/x
  3. Step 3: Cross multiply
    51,344x = 110,278 × 110,278
  4. Step 4: Simplify right side
    51,344x = 12,161,237,284
  5. Step 5: Solve for x
    x = 12,161,237,284/51,344
  6. Step 6: Final answer
    x = 236,858.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.