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Finding the Third Proportional to 75,165 and 174,791

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Solution

The third proportional to 75,165 and 174,791 is: 406,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,165 : 174,791 = 174,791 : x
  2. Step 2: Convert to fraction form
    75,165/174,791 = 174,791/x
  3. Step 3: Cross multiply
    75,165x = 174,791 × 174,791
  4. Step 4: Simplify right side
    75,165x = 30,551,893,681
  5. Step 5: Solve for x
    x = 30,551,893,681/75,165
  6. Step 6: Final answer
    x = 406,464.36

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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.