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Finding the Third Proportional to 48,867 and 107,085

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Solution

The third proportional to 48,867 and 107,085 is: 234,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,867 : 107,085 = 107,085 : x
  2. Step 2: Convert to fraction form
    48,867/107,085 = 107,085/x
  3. Step 3: Cross multiply
    48,867x = 107,085 × 107,085
  4. Step 4: Simplify right side
    48,867x = 11,467,197,225
  5. Step 5: Solve for x
    x = 11,467,197,225/48,867
  6. Step 6: Final answer
    x = 234,661.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.