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Finding the Third Proportional to 54,553.50 and 84,523.50

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Solution

The third proportional to 54,553.50 and 84,523.50 is: 130,958.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,553.50 : 84,523.50 = 84,523.50 : x
  2. Step 2: Convert to fraction form
    54,553.50/84,523.50 = 84,523.50/x
  3. Step 3: Cross multiply
    54,553.50x = 84,523.50 × 84,523.50
  4. Step 4: Simplify right side
    54,553.50x = 7,144,222,052.25
  5. Step 5: Solve for x
    x = 7,144,222,052.25/54,553.50
  6. Step 6: Final answer
    x = 130,958.09

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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.