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Finding the Third Proportional to 51,396 and 112,110

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Solution

The third proportional to 51,396 and 112,110 is: 244,545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,396 : 112,110 = 112,110 : x
  2. Step 2: Convert to fraction form
    51,396/112,110 = 112,110/x
  3. Step 3: Cross multiply
    51,396x = 112,110 × 112,110
  4. Step 4: Simplify right side
    51,396x = 12,568,652,100
  5. Step 5: Solve for x
    x = 12,568,652,100/51,396
  6. Step 6: Final answer
    x = 244,545.34

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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.