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Finding the Third Proportional to 53,338 and 80,422

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Solution

The third proportional to 53,338 and 80,422 is: 121,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,338 : 80,422 = 80,422 : x
  2. Step 2: Convert to fraction form
    53,338/80,422 = 80,422/x
  3. Step 3: Cross multiply
    53,338x = 80,422 × 80,422
  4. Step 4: Simplify right side
    53,338x = 6,467,698,084
  5. Step 5: Solve for x
    x = 6,467,698,084/53,338
  6. Step 6: Final answer
    x = 121,258.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.