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Finding the Third Proportional to 74,927 and 159,390

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Solution

The third proportional to 74,927 and 159,390 is: 339,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,927 : 159,390 = 159,390 : x
  2. Step 2: Convert to fraction form
    74,927/159,390 = 159,390/x
  3. Step 3: Cross multiply
    74,927x = 159,390 × 159,390
  4. Step 4: Simplify right side
    74,927x = 25,405,172,100
  5. Step 5: Solve for x
    x = 25,405,172,100/74,927
  6. Step 6: Final answer
    x = 339,065.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.