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Finding the Third Proportional to 69,640 and 150,362

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Solution

The third proportional to 69,640 and 150,362 is: 324,651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,640 : 150,362 = 150,362 : x
  2. Step 2: Convert to fraction form
    69,640/150,362 = 150,362/x
  3. Step 3: Cross multiply
    69,640x = 150,362 × 150,362
  4. Step 4: Simplify right side
    69,640x = 22,608,731,044
  5. Step 5: Solve for x
    x = 22,608,731,044/69,640
  6. Step 6: Final answer
    x = 324,651.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.