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Finding the Third Proportional to 74,131 and 159,925

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Solution

The third proportional to 74,131 and 159,925 is: 345,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,131 : 159,925 = 159,925 : x
  2. Step 2: Convert to fraction form
    74,131/159,925 = 159,925/x
  3. Step 3: Cross multiply
    74,131x = 159,925 × 159,925
  4. Step 4: Simplify right side
    74,131x = 25,576,005,625
  5. Step 5: Solve for x
    x = 25,576,005,625/74,131
  6. Step 6: Final answer
    x = 345,010.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.