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Finding the Third Proportional to 51,171 and 112,224

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Solution

The third proportional to 51,171 and 112,224 is: 246,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,171 : 112,224 = 112,224 : x
  2. Step 2: Convert to fraction form
    51,171/112,224 = 112,224/x
  3. Step 3: Cross multiply
    51,171x = 112,224 × 112,224
  4. Step 4: Simplify right side
    51,171x = 12,594,226,176
  5. Step 5: Solve for x
    x = 12,594,226,176/51,171
  6. Step 6: Final answer
    x = 246,120.38

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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.