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Finding the Third Proportional to 73,284 and 159,692

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Solution

The third proportional to 73,284 and 159,692 is: 347,982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,284 : 159,692 = 159,692 : x
  2. Step 2: Convert to fraction form
    73,284/159,692 = 159,692/x
  3. Step 3: Cross multiply
    73,284x = 159,692 × 159,692
  4. Step 4: Simplify right side
    73,284x = 25,501,534,864
  5. Step 5: Solve for x
    x = 25,501,534,864/73,284
  6. Step 6: Final answer
    x = 347,982.30

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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.