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Finding the Third Proportional to 41,717 and 97,623

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Solution

The third proportional to 41,717 and 97,623 is: 228,450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,717 : 97,623 = 97,623 : x
  2. Step 2: Convert to fraction form
    41,717/97,623 = 97,623/x
  3. Step 3: Cross multiply
    41,717x = 97,623 × 97,623
  4. Step 4: Simplify right side
    41,717x = 9,530,250,129
  5. Step 5: Solve for x
    x = 9,530,250,129/41,717
  6. Step 6: Final answer
    x = 228,450.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.