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Finding the Third Proportional to 51,860 and 113,806

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Solution

The third proportional to 51,860 and 113,806 is: 249,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,860 : 113,806 = 113,806 : x
  2. Step 2: Convert to fraction form
    51,860/113,806 = 113,806/x
  3. Step 3: Cross multiply
    51,860x = 113,806 × 113,806
  4. Step 4: Simplify right side
    51,860x = 12,951,805,636
  5. Step 5: Solve for x
    x = 12,951,805,636/51,860
  6. Step 6: Final answer
    x = 249,745.58

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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.