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Finding the Third Proportional to 73,267 and 159,655

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Solution

The third proportional to 73,267 and 159,655 is: 347,901.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,267 : 159,655 = 159,655 : x
  2. Step 2: Convert to fraction form
    73,267/159,655 = 159,655/x
  3. Step 3: Cross multiply
    73,267x = 159,655 × 159,655
  4. Step 4: Simplify right side
    73,267x = 25,489,719,025
  5. Step 5: Solve for x
    x = 25,489,719,025/73,267
  6. Step 6: Final answer
    x = 347,901.77

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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.