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Finding the Third Proportional to 48,192 and 102,671

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Solution

The third proportional to 48,192 and 102,671 is: 218,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,192 : 102,671 = 102,671 : x
  2. Step 2: Convert to fraction form
    48,192/102,671 = 102,671/x
  3. Step 3: Cross multiply
    48,192x = 102,671 × 102,671
  4. Step 4: Simplify right side
    48,192x = 10,541,334,241
  5. Step 5: Solve for x
    x = 10,541,334,241/48,192
  6. Step 6: Final answer
    x = 218,736.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.