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Finding the Third Proportional to 54,602.44 and 84,819.66

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Solution

The third proportional to 54,602.44 and 84,819.66 is: 131,759.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,602.44 : 84,819.66 = 84,819.66 : x
  2. Step 2: Convert to fraction form
    54,602.44/84,819.66 = 84,819.66/x
  3. Step 3: Cross multiply
    54,602.44x = 84,819.66 × 84,819.66
  4. Step 4: Simplify right side
    54,602.44x = 7,194,374,086.37
  5. Step 5: Solve for x
    x = 7,194,374,086.37/54,602.44
  6. Step 6: Final answer
    x = 131,759.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.