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Finding the Third Proportional to 116,949 and 246,123

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Solution

The third proportional to 116,949 and 246,123 is: 517,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,949 : 246,123 = 246,123 : x
  2. Step 2: Convert to fraction form
    116,949/246,123 = 246,123/x
  3. Step 3: Cross multiply
    116,949x = 246,123 × 246,123
  4. Step 4: Simplify right side
    116,949x = 60,576,531,129
  5. Step 5: Solve for x
    x = 60,576,531,129/116,949
  6. Step 6: Final answer
    x = 517,973.91

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