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Finding the Third Proportional to 73,222 and 159,872

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Solution

The third proportional to 73,222 and 159,872 is: 349,062.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,222 : 159,872 = 159,872 : x
  2. Step 2: Convert to fraction form
    73,222/159,872 = 159,872/x
  3. Step 3: Cross multiply
    73,222x = 159,872 × 159,872
  4. Step 4: Simplify right side
    73,222x = 25,559,056,384
  5. Step 5: Solve for x
    x = 25,559,056,384/73,222
  6. Step 6: Final answer
    x = 349,062.53

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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.