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Finding the Third Proportional to 51,357 and 112,167

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Solution

The third proportional to 51,357 and 112,167 is: 244,979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,357 : 112,167 = 112,167 : x
  2. Step 2: Convert to fraction form
    51,357/112,167 = 112,167/x
  3. Step 3: Cross multiply
    51,357x = 112,167 × 112,167
  4. Step 4: Simplify right side
    51,357x = 12,581,435,889
  5. Step 5: Solve for x
    x = 12,581,435,889/51,357
  6. Step 6: Final answer
    x = 244,979.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.