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Finding the Third Proportional to 74,126 and 111,171

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Solution

The third proportional to 74,126 and 111,171 is: 166,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,126 : 111,171 = 111,171 : x
  2. Step 2: Convert to fraction form
    74,126/111,171 = 111,171/x
  3. Step 3: Cross multiply
    74,126x = 111,171 × 111,171
  4. Step 4: Simplify right side
    74,126x = 12,358,991,241
  5. Step 5: Solve for x
    x = 12,358,991,241/74,126
  6. Step 6: Final answer
    x = 166,729.50

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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.