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Finding the Third Proportional to 48,236 and 103,744

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Solution

The third proportional to 48,236 and 103,744 is: 223,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,236 : 103,744 = 103,744 : x
  2. Step 2: Convert to fraction form
    48,236/103,744 = 103,744/x
  3. Step 3: Cross multiply
    48,236x = 103,744 × 103,744
  4. Step 4: Simplify right side
    48,236x = 10,762,817,536
  5. Step 5: Solve for x
    x = 10,762,817,536/48,236
  6. Step 6: Final answer
    x = 223,128.32

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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.