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Finding the Third Proportional to 75,448 and 159,156

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Solution

The third proportional to 75,448 and 159,156 is: 335,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,448 : 159,156 = 159,156 : x
  2. Step 2: Convert to fraction form
    75,448/159,156 = 159,156/x
  3. Step 3: Cross multiply
    75,448x = 159,156 × 159,156
  4. Step 4: Simplify right side
    75,448x = 25,330,632,336
  5. Step 5: Solve for x
    x = 25,330,632,336/75,448
  6. Step 6: Final answer
    x = 335,736.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.