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Finding the Third Proportional to 41,729 and 86,910

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Solution

The third proportional to 41,729 and 86,910 is: 181,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,729 : 86,910 = 86,910 : x
  2. Step 2: Convert to fraction form
    41,729/86,910 = 86,910/x
  3. Step 3: Cross multiply
    41,729x = 86,910 × 86,910
  4. Step 4: Simplify right side
    41,729x = 7,553,348,100
  5. Step 5: Solve for x
    x = 7,553,348,100/41,729
  6. Step 6: Final answer
    x = 181,009.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.