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Finding the Third Proportional to 62,961.68 and 136,072.41

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Solution

The third proportional to 62,961.68 and 136,072.41 is: 294,078.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,961.68 : 136,072.41 = 136,072.41 : x
  2. Step 2: Convert to fraction form
    62,961.68/136,072.41 = 136,072.41/x
  3. Step 3: Cross multiply
    62,961.68x = 136,072.41 × 136,072.41
  4. Step 4: Simplify right side
    62,961.68x = 18,515,699,742.67
  5. Step 5: Solve for x
    x = 18,515,699,742.67/62,961.68
  6. Step 6: Final answer
    x = 294,078.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.