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Finding the Third Proportional to 67,724 and 104,806

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Solution

The third proportional to 67,724 and 104,806 is: 162,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,724 : 104,806 = 104,806 : x
  2. Step 2: Convert to fraction form
    67,724/104,806 = 104,806/x
  3. Step 3: Cross multiply
    67,724x = 104,806 × 104,806
  4. Step 4: Simplify right side
    67,724x = 10,984,297,636
  5. Step 5: Solve for x
    x = 10,984,297,636/67,724
  6. Step 6: Final answer
    x = 162,192.10

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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.