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Finding the Third Proportional to 53,867 and 114,544

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Solution

The third proportional to 53,867 and 114,544 is: 243,568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,867 : 114,544 = 114,544 : x
  2. Step 2: Convert to fraction form
    53,867/114,544 = 114,544/x
  3. Step 3: Cross multiply
    53,867x = 114,544 × 114,544
  4. Step 4: Simplify right side
    53,867x = 13,120,327,936
  5. Step 5: Solve for x
    x = 13,120,327,936/53,867
  6. Step 6: Final answer
    x = 243,568.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.