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Finding the Third Proportional to 51,494 and 112,828

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Solution

The third proportional to 51,494 and 112,828 is: 247,216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,494 : 112,828 = 112,828 : x
  2. Step 2: Convert to fraction form
    51,494/112,828 = 112,828/x
  3. Step 3: Cross multiply
    51,494x = 112,828 × 112,828
  4. Step 4: Simplify right side
    51,494x = 12,730,157,584
  5. Step 5: Solve for x
    x = 12,730,157,584/51,494
  6. Step 6: Final answer
    x = 247,216.33

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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.