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Finding the Third Proportional to 116,950 and 246,126

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Solution

The third proportional to 116,950 and 246,126 is: 517,982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,950 : 246,126 = 246,126 : x
  2. Step 2: Convert to fraction form
    116,950/246,126 = 246,126/x
  3. Step 3: Cross multiply
    116,950x = 246,126 × 246,126
  4. Step 4: Simplify right side
    116,950x = 60,578,007,876
  5. Step 5: Solve for x
    x = 60,578,007,876/116,950
  6. Step 6: Final answer
    x = 517,982.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.