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Finding the Third Proportional to 43,936 and 96,048

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Solution

The third proportional to 43,936 and 96,048 is: 209,969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,936 : 96,048 = 96,048 : x
  2. Step 2: Convert to fraction form
    43,936/96,048 = 96,048/x
  3. Step 3: Cross multiply
    43,936x = 96,048 × 96,048
  4. Step 4: Simplify right side
    43,936x = 9,225,218,304
  5. Step 5: Solve for x
    x = 9,225,218,304/43,936
  6. Step 6: Final answer
    x = 209,969.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.