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Finding the Third Proportional to 76,800 and 115,200

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Solution

The third proportional to 76,800 and 115,200 is: 172,800

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,800 : 115,200 = 115,200 : x
  2. Step 2: Convert to fraction form
    76,800/115,200 = 115,200/x
  3. Step 3: Cross multiply
    76,800x = 115,200 × 115,200
  4. Step 4: Simplify right side
    76,800x = 13,271,040,000
  5. Step 5: Solve for x
    x = 13,271,040,000/76,800
  6. Step 6: Final answer
    x = 172,800

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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.