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Finding the Third Proportional to 62,742 and 135,096

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Solution

The third proportional to 62,742 and 135,096 is: 290,888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,742 : 135,096 = 135,096 : x
  2. Step 2: Convert to fraction form
    62,742/135,096 = 135,096/x
  3. Step 3: Cross multiply
    62,742x = 135,096 × 135,096
  4. Step 4: Simplify right side
    62,742x = 18,250,929,216
  5. Step 5: Solve for x
    x = 18,250,929,216/62,742
  6. Step 6: Final answer
    x = 290,888.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.