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Finding the Third Proportional to 74,161.50 and 159,123

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Solution

The third proportional to 74,161.50 and 159,123 is: 341,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,161.50 : 159,123 = 159,123 : x
  2. Step 2: Convert to fraction form
    74,161.50/159,123 = 159,123/x
  3. Step 3: Cross multiply
    74,161.50x = 159,123 × 159,123
  4. Step 4: Simplify right side
    74,161.50x = 25,320,129,129
  5. Step 5: Solve for x
    x = 25,320,129,129/74,161.50
  6. Step 6: Final answer
    x = 341,418.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.