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Finding the Third Proportional to 75,086 and 164,938

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Solution

The third proportional to 75,086 and 164,938 is: 362,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,086 : 164,938 = 164,938 : x
  2. Step 2: Convert to fraction form
    75,086/164,938 = 164,938/x
  3. Step 3: Cross multiply
    75,086x = 164,938 × 164,938
  4. Step 4: Simplify right side
    75,086x = 27,204,543,844
  5. Step 5: Solve for x
    x = 27,204,543,844/75,086
  6. Step 6: Final answer
    x = 362,311.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.