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Finding the Third Proportional to 104,406 and 159,057

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Solution

The third proportional to 104,406 and 159,057 is: 242,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,406 : 159,057 = 159,057 : x
  2. Step 2: Convert to fraction form
    104,406/159,057 = 159,057/x
  3. Step 3: Cross multiply
    104,406x = 159,057 × 159,057
  4. Step 4: Simplify right side
    104,406x = 25,299,129,249
  5. Step 5: Solve for x
    x = 25,299,129,249/104,406
  6. Step 6: Final answer
    x = 242,314.90

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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.