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Finding the Third Proportional to 116,886 and 165,393

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Solution

The third proportional to 116,886 and 165,393 is: 234,030.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,886 : 165,393 = 165,393 : x
  2. Step 2: Convert to fraction form
    116,886/165,393 = 165,393/x
  3. Step 3: Cross multiply
    116,886x = 165,393 × 165,393
  4. Step 4: Simplify right side
    116,886x = 27,354,844,449
  5. Step 5: Solve for x
    x = 27,354,844,449/116,886
  6. Step 6: Final answer
    x = 234,030.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.