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Finding the Third Proportional to 67,824 and 149,472

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Solution

The third proportional to 67,824 and 149,472 is: 329,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,824 : 149,472 = 149,472 : x
  2. Step 2: Convert to fraction form
    67,824/149,472 = 149,472/x
  3. Step 3: Cross multiply
    67,824x = 149,472 × 149,472
  4. Step 4: Simplify right side
    67,824x = 22,341,878,784
  5. Step 5: Solve for x
    x = 22,341,878,784/67,824
  6. Step 6: Final answer
    x = 329,409.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.