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Finding the Third Proportional to 48,529 and 102,889

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Solution

The third proportional to 48,529 and 102,889 is: 218,140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,529 : 102,889 = 102,889 : x
  2. Step 2: Convert to fraction form
    48,529/102,889 = 102,889/x
  3. Step 3: Cross multiply
    48,529x = 102,889 × 102,889
  4. Step 4: Simplify right side
    48,529x = 10,586,146,321
  5. Step 5: Solve for x
    x = 10,586,146,321/48,529
  6. Step 6: Final answer
    x = 218,140.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.