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Finding the Third Proportional to 75,164 and 174,782

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Solution

The third proportional to 75,164 and 174,782 is: 406,427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,164 : 174,782 = 174,782 : x
  2. Step 2: Convert to fraction form
    75,164/174,782 = 174,782/x
  3. Step 3: Cross multiply
    75,164x = 174,782 × 174,782
  4. Step 4: Simplify right side
    75,164x = 30,548,747,524
  5. Step 5: Solve for x
    x = 30,548,747,524/75,164
  6. Step 6: Final answer
    x = 406,427.91

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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.