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Finding the Third Proportional to 75,176 and 174,800

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Solution

The third proportional to 75,176 and 174,800 is: 406,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,176 : 174,800 = 174,800 : x
  2. Step 2: Convert to fraction form
    75,176/174,800 = 174,800/x
  3. Step 3: Cross multiply
    75,176x = 174,800 × 174,800
  4. Step 4: Simplify right side
    75,176x = 30,555,040,000
  5. Step 5: Solve for x
    x = 30,555,040,000/75,176
  6. Step 6: Final answer
    x = 406,446.74

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.