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Finding the Third Proportional to 74,413 and 175,626

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Solution

The third proportional to 74,413 and 175,626 is: 414,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,413 : 175,626 = 175,626 : x
  2. Step 2: Convert to fraction form
    74,413/175,626 = 175,626/x
  3. Step 3: Cross multiply
    74,413x = 175,626 × 175,626
  4. Step 4: Simplify right side
    74,413x = 30,844,491,876
  5. Step 5: Solve for x
    x = 30,844,491,876/74,413
  6. Step 6: Final answer
    x = 414,504.08

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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.