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Finding the Third Proportional to 45,084 and 96,422

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Solution

The third proportional to 45,084 and 96,422 is: 206,219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,084 : 96,422 = 96,422 : x
  2. Step 2: Convert to fraction form
    45,084/96,422 = 96,422/x
  3. Step 3: Cross multiply
    45,084x = 96,422 × 96,422
  4. Step 4: Simplify right side
    45,084x = 9,297,202,084
  5. Step 5: Solve for x
    x = 9,297,202,084/45,084
  6. Step 6: Final answer
    x = 206,219.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.