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Finding the Third Proportional to 69,822 and 164,754

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Solution

The third proportional to 69,822 and 164,754 is: 388,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,822 : 164,754 = 164,754 : x
  2. Step 2: Convert to fraction form
    69,822/164,754 = 164,754/x
  3. Step 3: Cross multiply
    69,822x = 164,754 × 164,754
  4. Step 4: Simplify right side
    69,822x = 27,143,880,516
  5. Step 5: Solve for x
    x = 27,143,880,516/69,822
  6. Step 6: Final answer
    x = 388,758.28

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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.