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Finding the Third Proportional to 84,692 and 131,874

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Solution

The third proportional to 84,692 and 131,874 is: 205,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,692 : 131,874 = 131,874 : x
  2. Step 2: Convert to fraction form
    84,692/131,874 = 131,874/x
  3. Step 3: Cross multiply
    84,692x = 131,874 × 131,874
  4. Step 4: Simplify right side
    84,692x = 17,390,751,876
  5. Step 5: Solve for x
    x = 17,390,751,876/84,692
  6. Step 6: Final answer
    x = 205,341.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.