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Finding the Third Proportional to 146,012 and 161,372

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Solution

The third proportional to 146,012 and 161,372 is: 178,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,012 : 161,372 = 161,372 : x
  2. Step 2: Convert to fraction form
    146,012/161,372 = 161,372/x
  3. Step 3: Cross multiply
    146,012x = 161,372 × 161,372
  4. Step 4: Simplify right side
    146,012x = 26,040,922,384
  5. Step 5: Solve for x
    x = 26,040,922,384/146,012
  6. Step 6: Final answer
    x = 178,347.82

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.