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Finding the Third Proportional to 69,976 and 151,616

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Solution

The third proportional to 69,976 and 151,616 is: 328,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,976 : 151,616 = 151,616 : x
  2. Step 2: Convert to fraction form
    69,976/151,616 = 151,616/x
  3. Step 3: Cross multiply
    69,976x = 151,616 × 151,616
  4. Step 4: Simplify right side
    69,976x = 22,987,411,456
  5. Step 5: Solve for x
    x = 22,987,411,456/69,976
  6. Step 6: Final answer
    x = 328,504.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.