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Finding the Third Proportional to 116,249.63 and 164,538.38

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Solution

The third proportional to 116,249.63 and 164,538.38 is: 232,885.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,249.63 : 164,538.38 = 164,538.38 : x
  2. Step 2: Convert to fraction form
    116,249.63/164,538.38 = 164,538.38/x
  3. Step 3: Cross multiply
    116,249.63x = 164,538.38 × 164,538.38
  4. Step 4: Simplify right side
    116,249.63x = 27,072,876,847.64
  5. Step 5: Solve for x
    x = 27,072,876,847.64/116,249.63
  6. Step 6: Final answer
    x = 232,885.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.