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Finding the Third Proportional to 48,393 and 104,202

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Solution

The third proportional to 48,393 and 104,202 is: 224,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,393 : 104,202 = 104,202 : x
  2. Step 2: Convert to fraction form
    48,393/104,202 = 104,202/x
  3. Step 3: Cross multiply
    48,393x = 104,202 × 104,202
  4. Step 4: Simplify right side
    48,393x = 10,858,056,804
  5. Step 5: Solve for x
    x = 10,858,056,804/48,393
  6. Step 6: Final answer
    x = 224,372.47

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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.