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Finding the Third Proportional to 73,233 and 159,102

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Solution

The third proportional to 73,233 and 159,102 is: 345,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,233 : 159,102 = 159,102 : x
  2. Step 2: Convert to fraction form
    73,233/159,102 = 159,102/x
  3. Step 3: Cross multiply
    73,233x = 159,102 × 159,102
  4. Step 4: Simplify right side
    73,233x = 25,313,446,404
  5. Step 5: Solve for x
    x = 25,313,446,404/73,233
  6. Step 6: Final answer
    x = 345,656.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.