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Finding the Third Proportional to 41,686 and 92,588

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Solution

The third proportional to 41,686 and 92,588 is: 205,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,686 : 92,588 = 92,588 : x
  2. Step 2: Convert to fraction form
    41,686/92,588 = 92,588/x
  3. Step 3: Cross multiply
    41,686x = 92,588 × 92,588
  4. Step 4: Simplify right side
    41,686x = 8,572,537,744
  5. Step 5: Solve for x
    x = 8,572,537,744/41,686
  6. Step 6: Final answer
    x = 205,645.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.