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Finding the Third Proportional to 90,441 and 133,048

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Solution

The third proportional to 90,441 and 133,048 is: 195,727.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,441 : 133,048 = 133,048 : x
  2. Step 2: Convert to fraction form
    90,441/133,048 = 133,048/x
  3. Step 3: Cross multiply
    90,441x = 133,048 × 133,048
  4. Step 4: Simplify right side
    90,441x = 17,701,770,304
  5. Step 5: Solve for x
    x = 17,701,770,304/90,441
  6. Step 6: Final answer
    x = 195,727.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.