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Finding the Third Proportional to 73,091.25 and 159,849

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Solution

The third proportional to 73,091.25 and 159,849 is: 349,586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,091.25 : 159,849 = 159,849 : x
  2. Step 2: Convert to fraction form
    73,091.25/159,849 = 159,849/x
  3. Step 3: Cross multiply
    73,091.25x = 159,849 × 159,849
  4. Step 4: Simplify right side
    73,091.25x = 25,551,702,801
  5. Step 5: Solve for x
    x = 25,551,702,801/73,091.25
  6. Step 6: Final answer
    x = 349,586.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.