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Finding the Third Proportional to 67,824 and 147,324

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Solution

The third proportional to 67,824 and 147,324 is: 320,010.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,824 : 147,324 = 147,324 : x
  2. Step 2: Convert to fraction form
    67,824/147,324 = 147,324/x
  3. Step 3: Cross multiply
    67,824x = 147,324 × 147,324
  4. Step 4: Simplify right side
    67,824x = 21,704,360,976
  5. Step 5: Solve for x
    x = 21,704,360,976/67,824
  6. Step 6: Final answer
    x = 320,010.04

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Why These Related Problems?

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