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Finding the Third Proportional to 57,424 and 121,806

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Solution

The third proportional to 57,424 and 121,806 is: 258,371.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,424 : 121,806 = 121,806 : x
  2. Step 2: Convert to fraction form
    57,424/121,806 = 121,806/x
  3. Step 3: Cross multiply
    57,424x = 121,806 × 121,806
  4. Step 4: Simplify right side
    57,424x = 14,836,701,636
  5. Step 5: Solve for x
    x = 14,836,701,636/57,424
  6. Step 6: Final answer
    x = 258,371.09

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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.