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Finding the Third Proportional to 111,429 and 167,674.50

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Solution

The third proportional to 111,429 and 167,674.50 is: 252,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,429 : 167,674.50 = 167,674.50 : x
  2. Step 2: Convert to fraction form
    111,429/167,674.50 = 167,674.50/x
  3. Step 3: Cross multiply
    111,429x = 167,674.50 × 167,674.50
  4. Step 4: Simplify right side
    111,429x = 28,114,737,950.25
  5. Step 5: Solve for x
    x = 28,114,737,950.25/111,429
  6. Step 6: Final answer
    x = 252,310.78

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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.