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Finding the Third Proportional to 51,173 and 112,228

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Solution

The third proportional to 51,173 and 112,228 is: 246,128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,173 : 112,228 = 112,228 : x
  2. Step 2: Convert to fraction form
    51,173/112,228 = 112,228/x
  3. Step 3: Cross multiply
    51,173x = 112,228 × 112,228
  4. Step 4: Simplify right side
    51,173x = 12,595,123,984
  5. Step 5: Solve for x
    x = 12,595,123,984/51,173
  6. Step 6: Final answer
    x = 246,128.31

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