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Finding the Third Proportional to 74,530 and 110,782

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Solution

The third proportional to 74,530 and 110,782 is: 164,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,530 : 110,782 = 110,782 : x
  2. Step 2: Convert to fraction form
    74,530/110,782 = 110,782/x
  3. Step 3: Cross multiply
    74,530x = 110,782 × 110,782
  4. Step 4: Simplify right side
    74,530x = 12,272,651,524
  5. Step 5: Solve for x
    x = 12,272,651,524/74,530
  6. Step 6: Final answer
    x = 164,667.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.