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Finding the Third Proportional to 71,880 and 153,616

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Solution

The third proportional to 71,880 and 153,616 is: 328,295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,880 : 153,616 = 153,616 : x
  2. Step 2: Convert to fraction form
    71,880/153,616 = 153,616/x
  3. Step 3: Cross multiply
    71,880x = 153,616 × 153,616
  4. Step 4: Simplify right side
    71,880x = 23,597,875,456
  5. Step 5: Solve for x
    x = 23,597,875,456/71,880
  6. Step 6: Final answer
    x = 328,295.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.