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Finding the Third Proportional to 73,981 and 104,682

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Solution

The third proportional to 73,981 and 104,682 is: 148,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,981 : 104,682 = 104,682 : x
  2. Step 2: Convert to fraction form
    73,981/104,682 = 104,682/x
  3. Step 3: Cross multiply
    73,981x = 104,682 × 104,682
  4. Step 4: Simplify right side
    73,981x = 10,958,321,124
  5. Step 5: Solve for x
    x = 10,958,321,124/73,981
  6. Step 6: Final answer
    x = 148,123.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.