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Finding the Third Proportional to 113,625 and 172,800

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Solution

The third proportional to 113,625 and 172,800 is: 262,792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,625 : 172,800 = 172,800 : x
  2. Step 2: Convert to fraction form
    113,625/172,800 = 172,800/x
  3. Step 3: Cross multiply
    113,625x = 172,800 × 172,800
  4. Step 4: Simplify right side
    113,625x = 29,859,840,000
  5. Step 5: Solve for x
    x = 29,859,840,000/113,625
  6. Step 6: Final answer
    x = 262,792.87

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.