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Finding the Third Proportional to 48,845 and 113,445

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Solution

The third proportional to 48,845 and 113,445 is: 263,481.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,845 : 113,445 = 113,445 : x
  2. Step 2: Convert to fraction form
    48,845/113,445 = 113,445/x
  3. Step 3: Cross multiply
    48,845x = 113,445 × 113,445
  4. Step 4: Simplify right side
    48,845x = 12,869,768,025
  5. Step 5: Solve for x
    x = 12,869,768,025/48,845
  6. Step 6: Final answer
    x = 263,481.79

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.