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Finding the Third Proportional to 41,722 and 86,897

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Solution

The third proportional to 41,722 and 86,897 is: 180,985.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,722 : 86,897 = 86,897 : x
  2. Step 2: Convert to fraction form
    41,722/86,897 = 86,897/x
  3. Step 3: Cross multiply
    41,722x = 86,897 × 86,897
  4. Step 4: Simplify right side
    41,722x = 7,551,088,609
  5. Step 5: Solve for x
    x = 7,551,088,609/41,722
  6. Step 6: Final answer
    x = 180,985.78

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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.