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Finding the Third Proportional to 48,174 and 102,990

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Solution

The third proportional to 48,174 and 102,990 is: 220,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,174 : 102,990 = 102,990 : x
  2. Step 2: Convert to fraction form
    48,174/102,990 = 102,990/x
  3. Step 3: Cross multiply
    48,174x = 102,990 × 102,990
  4. Step 4: Simplify right side
    48,174x = 10,606,940,100
  5. Step 5: Solve for x
    x = 10,606,940,100/48,174
  6. Step 6: Final answer
    x = 220,179.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.