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Finding the Third Proportional to 67,920 and 160,576

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Solution

The third proportional to 67,920 and 160,576 is: 379,632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,920 : 160,576 = 160,576 : x
  2. Step 2: Convert to fraction form
    67,920/160,576 = 160,576/x
  3. Step 3: Cross multiply
    67,920x = 160,576 × 160,576
  4. Step 4: Simplify right side
    67,920x = 25,784,651,776
  5. Step 5: Solve for x
    x = 25,784,651,776/67,920
  6. Step 6: Final answer
    x = 379,632.68

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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.