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Finding the Third Proportional to 115,200 and 172,800

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Solution

The third proportional to 115,200 and 172,800 is: 259,200

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,200 : 172,800 = 172,800 : x
  2. Step 2: Convert to fraction form
    115,200/172,800 = 172,800/x
  3. Step 3: Cross multiply
    115,200x = 172,800 × 172,800
  4. Step 4: Simplify right side
    115,200x = 29,859,840,000
  5. Step 5: Solve for x
    x = 29,859,840,000/115,200
  6. Step 6: Final answer
    x = 259,200

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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.