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Finding the Third Proportional to 75,222 and 158,892

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Solution

The third proportional to 75,222 and 158,892 is: 335,628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,222 : 158,892 = 158,892 : x
  2. Step 2: Convert to fraction form
    75,222/158,892 = 158,892/x
  3. Step 3: Cross multiply
    75,222x = 158,892 × 158,892
  4. Step 4: Simplify right side
    75,222x = 25,246,667,664
  5. Step 5: Solve for x
    x = 25,246,667,664/75,222
  6. Step 6: Final answer
    x = 335,628.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.