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Finding the Third Proportional to 74,901 and 159,036

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Solution

The third proportional to 74,901 and 159,036 is: 337,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,901 : 159,036 = 159,036 : x
  2. Step 2: Convert to fraction form
    74,901/159,036 = 159,036/x
  3. Step 3: Cross multiply
    74,901x = 159,036 × 159,036
  4. Step 4: Simplify right side
    74,901x = 25,292,449,296
  5. Step 5: Solve for x
    x = 25,292,449,296/74,901
  6. Step 6: Final answer
    x = 337,678.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.