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Finding the Third Proportional to 82,116 and 125,652

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Solution

The third proportional to 82,116 and 125,652 is: 192,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,116 : 125,652 = 125,652 : x
  2. Step 2: Convert to fraction form
    82,116/125,652 = 125,652/x
  3. Step 3: Cross multiply
    82,116x = 125,652 × 125,652
  4. Step 4: Simplify right side
    82,116x = 15,788,425,104
  5. Step 5: Solve for x
    x = 15,788,425,104/82,116
  6. Step 6: Final answer
    x = 192,269.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.