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Finding the Third Proportional to 74,089 and 159,760

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Solution

The third proportional to 74,089 and 159,760 is: 344,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,089 : 159,760 = 159,760 : x
  2. Step 2: Convert to fraction form
    74,089/159,760 = 159,760/x
  3. Step 3: Cross multiply
    74,089x = 159,760 × 159,760
  4. Step 4: Simplify right side
    74,089x = 25,523,257,600
  5. Step 5: Solve for x
    x = 25,523,257,600/74,089
  6. Step 6: Final answer
    x = 344,494.56

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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.