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Finding the Third Proportional to 73,191.75 and 159,771

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Solution

The third proportional to 73,191.75 and 159,771 is: 348,765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,191.75 : 159,771 = 159,771 : x
  2. Step 2: Convert to fraction form
    73,191.75/159,771 = 159,771/x
  3. Step 3: Cross multiply
    73,191.75x = 159,771 × 159,771
  4. Step 4: Simplify right side
    73,191.75x = 25,526,772,441
  5. Step 5: Solve for x
    x = 25,526,772,441/73,191.75
  6. Step 6: Final answer
    x = 348,765.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.