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Finding the Third Proportional to 73,775 and 158,301

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Solution

The third proportional to 73,775 and 158,301 is: 339,670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,775 : 158,301 = 158,301 : x
  2. Step 2: Convert to fraction form
    73,775/158,301 = 158,301/x
  3. Step 3: Cross multiply
    73,775x = 158,301 × 158,301
  4. Step 4: Simplify right side
    73,775x = 25,059,206,601
  5. Step 5: Solve for x
    x = 25,059,206,601/73,775
  6. Step 6: Final answer
    x = 339,670.71

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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.