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Finding the Third Proportional to 48,521 and 102,874

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Solution

The third proportional to 48,521 and 102,874 is: 218,112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,521 : 102,874 = 102,874 : x
  2. Step 2: Convert to fraction form
    48,521/102,874 = 102,874/x
  3. Step 3: Cross multiply
    48,521x = 102,874 × 102,874
  4. Step 4: Simplify right side
    48,521x = 10,583,059,876
  5. Step 5: Solve for x
    x = 10,583,059,876/48,521
  6. Step 6: Final answer
    x = 218,112.98

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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.