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Finding the Third Proportional to 84,170 and 129,366

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Solution

The third proportional to 84,170 and 129,366 is: 198,830.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,170 : 129,366 = 129,366 : x
  2. Step 2: Convert to fraction form
    84,170/129,366 = 129,366/x
  3. Step 3: Cross multiply
    84,170x = 129,366 × 129,366
  4. Step 4: Simplify right side
    84,170x = 16,735,561,956
  5. Step 5: Solve for x
    x = 16,735,561,956/84,170
  6. Step 6: Final answer
    x = 198,830.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.