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Finding the Third Proportional to 48,318 and 103,780

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Solution

The third proportional to 48,318 and 103,780 is: 222,904.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,318 : 103,780 = 103,780 : x
  2. Step 2: Convert to fraction form
    48,318/103,780 = 103,780/x
  3. Step 3: Cross multiply
    48,318x = 103,780 × 103,780
  4. Step 4: Simplify right side
    48,318x = 10,770,288,400
  5. Step 5: Solve for x
    x = 10,770,288,400/48,318
  6. Step 6: Final answer
    x = 222,904.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.