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Finding the Third Proportional to 51,038 and 108,340

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Solution

The third proportional to 51,038 and 108,340 is: 229,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,038 : 108,340 = 108,340 : x
  2. Step 2: Convert to fraction form
    51,038/108,340 = 108,340/x
  3. Step 3: Cross multiply
    51,038x = 108,340 × 108,340
  4. Step 4: Simplify right side
    51,038x = 11,737,555,600
  5. Step 5: Solve for x
    x = 11,737,555,600/51,038
  6. Step 6: Final answer
    x = 229,976.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.