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Finding the Third Proportional to 74,109 and 159,882

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Solution

The third proportional to 74,109 and 159,882 is: 344,927.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,109 : 159,882 = 159,882 : x
  2. Step 2: Convert to fraction form
    74,109/159,882 = 159,882/x
  3. Step 3: Cross multiply
    74,109x = 159,882 × 159,882
  4. Step 4: Simplify right side
    74,109x = 25,562,253,924
  5. Step 5: Solve for x
    x = 25,562,253,924/74,109
  6. Step 6: Final answer
    x = 344,927.79

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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.