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Finding the Third Proportional to 84,208 and 131,232

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Solution

The third proportional to 84,208 and 131,232 is: 204,515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,208 : 131,232 = 131,232 : x
  2. Step 2: Convert to fraction form
    84,208/131,232 = 131,232/x
  3. Step 3: Cross multiply
    84,208x = 131,232 × 131,232
  4. Step 4: Simplify right side
    84,208x = 17,221,837,824
  5. Step 5: Solve for x
    x = 17,221,837,824/84,208
  6. Step 6: Final answer
    x = 204,515.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.