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Finding the Third Proportional to 74,134 and 111,182

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Solution

The third proportional to 74,134 and 111,182 is: 166,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,134 : 111,182 = 111,182 : x
  2. Step 2: Convert to fraction form
    74,134/111,182 = 111,182/x
  3. Step 3: Cross multiply
    74,134x = 111,182 × 111,182
  4. Step 4: Simplify right side
    74,134x = 12,361,437,124
  5. Step 5: Solve for x
    x = 12,361,437,124/74,134
  6. Step 6: Final answer
    x = 166,744.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.