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Finding the Third Proportional to 115,975 and 179,574

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Solution

The third proportional to 115,975 and 179,574 is: 278,049.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,975 : 179,574 = 179,574 : x
  2. Step 2: Convert to fraction form
    115,975/179,574 = 179,574/x
  3. Step 3: Cross multiply
    115,975x = 179,574 × 179,574
  4. Step 4: Simplify right side
    115,975x = 32,246,821,476
  5. Step 5: Solve for x
    x = 32,246,821,476/115,975
  6. Step 6: Final answer
    x = 278,049.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.