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Finding the Third Proportional to 104,459 and 159,137

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Solution

The third proportional to 104,459 and 159,137 is: 242,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,459 : 159,137 = 159,137 : x
  2. Step 2: Convert to fraction form
    104,459/159,137 = 159,137/x
  3. Step 3: Cross multiply
    104,459x = 159,137 × 159,137
  4. Step 4: Simplify right side
    104,459x = 25,324,584,769
  5. Step 5: Solve for x
    x = 25,324,584,769/104,459
  6. Step 6: Final answer
    x = 242,435.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.