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Finding the Third Proportional to 73,940 and 158,938

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Solution

The third proportional to 73,940 and 158,938 is: 341,645.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,940 : 158,938 = 158,938 : x
  2. Step 2: Convert to fraction form
    73,940/158,938 = 158,938/x
  3. Step 3: Cross multiply
    73,940x = 158,938 × 158,938
  4. Step 4: Simplify right side
    73,940x = 25,261,287,844
  5. Step 5: Solve for x
    x = 25,261,287,844/73,940
  6. Step 6: Final answer
    x = 341,645.76

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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.