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Finding the Third Proportional to 53,344 and 113,244

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Solution

The third proportional to 53,344 and 113,244 is: 240,405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,344 : 113,244 = 113,244 : x
  2. Step 2: Convert to fraction form
    53,344/113,244 = 113,244/x
  3. Step 3: Cross multiply
    53,344x = 113,244 × 113,244
  4. Step 4: Simplify right side
    53,344x = 12,824,203,536
  5. Step 5: Solve for x
    x = 12,824,203,536/53,344
  6. Step 6: Final answer
    x = 240,405.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.