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Finding the Third Proportional to 72,183 and 173,897

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Solution

The third proportional to 72,183 and 173,897 is: 418,937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,183 : 173,897 = 173,897 : x
  2. Step 2: Convert to fraction form
    72,183/173,897 = 173,897/x
  3. Step 3: Cross multiply
    72,183x = 173,897 × 173,897
  4. Step 4: Simplify right side
    72,183x = 30,240,166,609
  5. Step 5: Solve for x
    x = 30,240,166,609/72,183
  6. Step 6: Final answer
    x = 418,937.51

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.