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Finding the Third Proportional to 82,118 and 125,655

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Solution

The third proportional to 82,118 and 125,655 is: 192,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,118 : 125,655 = 125,655 : x
  2. Step 2: Convert to fraction form
    82,118/125,655 = 125,655/x
  3. Step 3: Cross multiply
    82,118x = 125,655 × 125,655
  4. Step 4: Simplify right side
    82,118x = 15,789,179,025
  5. Step 5: Solve for x
    x = 15,789,179,025/82,118
  6. Step 6: Final answer
    x = 192,274.28

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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.