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Finding the Third Proportional to 48,910 and 107,197

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Solution

The third proportional to 48,910 and 107,197 is: 234,945.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,910 : 107,197 = 107,197 : x
  2. Step 2: Convert to fraction form
    48,910/107,197 = 107,197/x
  3. Step 3: Cross multiply
    48,910x = 107,197 × 107,197
  4. Step 4: Simplify right side
    48,910x = 11,491,196,809
  5. Step 5: Solve for x
    x = 11,491,196,809/48,910
  6. Step 6: Final answer
    x = 234,945.75

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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.