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Finding the Third Proportional to 104,976.56 and 159,408.84

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Solution

The third proportional to 104,976.56 and 159,408.84 is: 242,065.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,976.56 : 159,408.84 = 159,408.84 : x
  2. Step 2: Convert to fraction form
    104,976.56/159,408.84 = 159,408.84/x
  3. Step 3: Cross multiply
    104,976.56x = 159,408.84 × 159,408.84
  4. Step 4: Simplify right side
    104,976.56x = 25,411,179,465.71
  5. Step 5: Solve for x
    x = 25,411,179,465.71/104,976.56
  6. Step 6: Final answer
    x = 242,065.27

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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.