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Finding the Third Proportional to 81,461 and 125,874

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Solution

The third proportional to 81,461 and 125,874 is: 194,501.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,461 : 125,874 = 125,874 : x
  2. Step 2: Convert to fraction form
    81,461/125,874 = 125,874/x
  3. Step 3: Cross multiply
    81,461x = 125,874 × 125,874
  4. Step 4: Simplify right side
    81,461x = 15,844,263,876
  5. Step 5: Solve for x
    x = 15,844,263,876/81,461
  6. Step 6: Final answer
    x = 194,501.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.