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Finding the Third Proportional to 54,922 and 113,123

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Solution

The third proportional to 54,922 and 113,123 is: 232,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,922 : 113,123 = 113,123 : x
  2. Step 2: Convert to fraction form
    54,922/113,123 = 113,123/x
  3. Step 3: Cross multiply
    54,922x = 113,123 × 113,123
  4. Step 4: Simplify right side
    54,922x = 12,796,813,129
  5. Step 5: Solve for x
    x = 12,796,813,129/54,922
  6. Step 6: Final answer
    x = 232,999.77

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.