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Finding the Third Proportional to 67,508 and 104,796

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Solution

The third proportional to 67,508 and 104,796 is: 162,680.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,508 : 104,796 = 104,796 : x
  2. Step 2: Convert to fraction form
    67,508/104,796 = 104,796/x
  3. Step 3: Cross multiply
    67,508x = 104,796 × 104,796
  4. Step 4: Simplify right side
    67,508x = 10,982,201,616
  5. Step 5: Solve for x
    x = 10,982,201,616/67,508
  6. Step 6: Final answer
    x = 162,680.00

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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.