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Finding the Third Proportional to 120,692 and 182,982

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Solution

The third proportional to 120,692 and 182,982 is: 277,420.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,692 : 182,982 = 182,982 : x
  2. Step 2: Convert to fraction form
    120,692/182,982 = 182,982/x
  3. Step 3: Cross multiply
    120,692x = 182,982 × 182,982
  4. Step 4: Simplify right side
    120,692x = 33,482,412,324
  5. Step 5: Solve for x
    x = 33,482,412,324/120,692
  6. Step 6: Final answer
    x = 277,420.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.