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Finding the Third Proportional to 54,692.44 and 84,373.31

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Solution

The third proportional to 54,692.44 and 84,373.31 is: 130,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,692.44 : 84,373.31 = 84,373.31 : x
  2. Step 2: Convert to fraction form
    54,692.44/84,373.31 = 84,373.31/x
  3. Step 3: Cross multiply
    54,692.44x = 84,373.31 × 84,373.31
  4. Step 4: Simplify right side
    54,692.44x = 7,118,855,862.22
  5. Step 5: Solve for x
    x = 7,118,855,862.22/54,692.44
  6. Step 6: Final answer
    x = 130,161.61

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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.