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Finding the Third Proportional to 71,824 and 96,018

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Solution

The third proportional to 71,824 and 96,018 is: 128,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,824 : 96,018 = 96,018 : x
  2. Step 2: Convert to fraction form
    71,824/96,018 = 96,018/x
  3. Step 3: Cross multiply
    71,824x = 96,018 × 96,018
  4. Step 4: Simplify right side
    71,824x = 9,219,456,324
  5. Step 5: Solve for x
    x = 9,219,456,324/71,824
  6. Step 6: Final answer
    x = 128,361.78

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.