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Finding the Third Proportional to 116,885 and 165,391

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Solution

The third proportional to 116,885 and 165,391 is: 234,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,885 : 165,391 = 165,391 : x
  2. Step 2: Convert to fraction form
    116,885/165,391 = 165,391/x
  3. Step 3: Cross multiply
    116,885x = 165,391 × 165,391
  4. Step 4: Simplify right side
    116,885x = 27,354,182,881
  5. Step 5: Solve for x
    x = 27,354,182,881/116,885
  6. Step 6: Final answer
    x = 234,026.46

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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.