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Finding the Third Proportional to 69,742 and 164,616

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Solution

The third proportional to 69,742 and 164,616 is: 388,552.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,742 : 164,616 = 164,616 : x
  2. Step 2: Convert to fraction form
    69,742/164,616 = 164,616/x
  3. Step 3: Cross multiply
    69,742x = 164,616 × 164,616
  4. Step 4: Simplify right side
    69,742x = 27,098,427,456
  5. Step 5: Solve for x
    x = 27,098,427,456/69,742
  6. Step 6: Final answer
    x = 388,552.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.