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Finding the Third Proportional to 121,867 and 131,404

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Solution

The third proportional to 121,867 and 131,404 is: 141,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,867 : 131,404 = 131,404 : x
  2. Step 2: Convert to fraction form
    121,867/131,404 = 131,404/x
  3. Step 3: Cross multiply
    121,867x = 131,404 × 131,404
  4. Step 4: Simplify right side
    121,867x = 17,267,011,216
  5. Step 5: Solve for x
    x = 17,267,011,216/121,867
  6. Step 6: Final answer
    x = 141,687.34

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.