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Finding the Third Proportional to 48,638 and 76,197

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Solution

The third proportional to 48,638 and 76,197 is: 119,371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,638 : 76,197 = 76,197 : x
  2. Step 2: Convert to fraction form
    48,638/76,197 = 76,197/x
  3. Step 3: Cross multiply
    48,638x = 76,197 × 76,197
  4. Step 4: Simplify right side
    48,638x = 5,805,982,809
  5. Step 5: Solve for x
    x = 5,805,982,809/48,638
  6. Step 6: Final answer
    x = 119,371.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.