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Finding the Third Proportional to 116,890 and 165,397

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Solution

The third proportional to 116,890 and 165,397 is: 234,033.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,890 : 165,397 = 165,397 : x
  2. Step 2: Convert to fraction form
    116,890/165,397 = 165,397/x
  3. Step 3: Cross multiply
    116,890x = 165,397 × 165,397
  4. Step 4: Simplify right side
    116,890x = 27,356,167,609
  5. Step 5: Solve for x
    x = 27,356,167,609/116,890
  6. Step 6: Final answer
    x = 234,033.43

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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.