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Finding the Third Proportional to 71,180 and 154,048

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Solution

The third proportional to 71,180 and 154,048 is: 333,391.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,180 : 154,048 = 154,048 : x
  2. Step 2: Convert to fraction form
    71,180/154,048 = 154,048/x
  3. Step 3: Cross multiply
    71,180x = 154,048 × 154,048
  4. Step 4: Simplify right side
    71,180x = 23,730,786,304
  5. Step 5: Solve for x
    x = 23,730,786,304/71,180
  6. Step 6: Final answer
    x = 333,391.21

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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.