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Finding the Third Proportional to 74,086 and 159,848

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Solution

The third proportional to 74,086 and 159,848 is: 344,888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,086 : 159,848 = 159,848 : x
  2. Step 2: Convert to fraction form
    74,086/159,848 = 159,848/x
  3. Step 3: Cross multiply
    74,086x = 159,848 × 159,848
  4. Step 4: Simplify right side
    74,086x = 25,551,383,104
  5. Step 5: Solve for x
    x = 25,551,383,104/74,086
  6. Step 6: Final answer
    x = 344,888.14

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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.