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Finding the Third Proportional to 48,116 and 115,916

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Solution

The third proportional to 48,116 and 115,916 is: 279,252.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,116 : 115,916 = 115,916 : x
  2. Step 2: Convert to fraction form
    48,116/115,916 = 115,916/x
  3. Step 3: Cross multiply
    48,116x = 115,916 × 115,916
  4. Step 4: Simplify right side
    48,116x = 13,436,519,056
  5. Step 5: Solve for x
    x = 13,436,519,056/48,116
  6. Step 6: Final answer
    x = 279,252.62

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.