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Finding the Third Proportional to 81,982 and 125,352

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Solution

The third proportional to 81,982 and 125,352 is: 191,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,982 : 125,352 = 125,352 : x
  2. Step 2: Convert to fraction form
    81,982/125,352 = 125,352/x
  3. Step 3: Cross multiply
    81,982x = 125,352 × 125,352
  4. Step 4: Simplify right side
    81,982x = 15,713,123,904
  5. Step 5: Solve for x
    x = 15,713,123,904/81,982
  6. Step 6: Final answer
    x = 191,665.54

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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.