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Finding the Third Proportional to 76,244 and 168,000

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Solution

The third proportional to 76,244 and 168,000 is: 370,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,244 : 168,000 = 168,000 : x
  2. Step 2: Convert to fraction form
    76,244/168,000 = 168,000/x
  3. Step 3: Cross multiply
    76,244x = 168,000 × 168,000
  4. Step 4: Simplify right side
    76,244x = 28,224,000,000
  5. Step 5: Solve for x
    x = 28,224,000,000/76,244
  6. Step 6: Final answer
    x = 370,179.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.