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Finding the Third Proportional to 51,176 and 112,234

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Solution

The third proportional to 51,176 and 112,234 is: 246,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,176 : 112,234 = 112,234 : x
  2. Step 2: Convert to fraction form
    51,176/112,234 = 112,234/x
  3. Step 3: Cross multiply
    51,176x = 112,234 × 112,234
  4. Step 4: Simplify right side
    51,176x = 12,596,470,756
  5. Step 5: Solve for x
    x = 12,596,470,756/51,176
  6. Step 6: Final answer
    x = 246,140.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.