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Finding the Third Proportional to 73,824 and 115,344

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Solution

The third proportional to 73,824 and 115,344 is: 180,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,824 : 115,344 = 115,344 : x
  2. Step 2: Convert to fraction form
    73,824/115,344 = 115,344/x
  3. Step 3: Cross multiply
    73,824x = 115,344 × 115,344
  4. Step 4: Simplify right side
    73,824x = 13,304,238,336
  5. Step 5: Solve for x
    x = 13,304,238,336/73,824
  6. Step 6: Final answer
    x = 180,215.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.