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Finding the Third Proportional to 74,181 and 175,017

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Solution

The third proportional to 74,181 and 175,017 is: 412,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,181 : 175,017 = 175,017 : x
  2. Step 2: Convert to fraction form
    74,181/175,017 = 175,017/x
  3. Step 3: Cross multiply
    74,181x = 175,017 × 175,017
  4. Step 4: Simplify right side
    74,181x = 30,630,950,289
  5. Step 5: Solve for x
    x = 30,630,950,289/74,181
  6. Step 6: Final answer
    x = 412,921.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.