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Finding the Third Proportional to 75,446 and 159,154

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Solution

The third proportional to 75,446 and 159,154 is: 335,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,446 : 159,154 = 159,154 : x
  2. Step 2: Convert to fraction form
    75,446/159,154 = 159,154/x
  3. Step 3: Cross multiply
    75,446x = 159,154 × 159,154
  4. Step 4: Simplify right side
    75,446x = 25,329,995,716
  5. Step 5: Solve for x
    x = 25,329,995,716/75,446
  6. Step 6: Final answer
    x = 335,736.76

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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.