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Finding the Third Proportional to 53,855.44 and 82,241.16

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Solution

The third proportional to 53,855.44 and 82,241.16 is: 125,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,855.44 : 82,241.16 = 82,241.16 : x
  2. Step 2: Convert to fraction form
    53,855.44/82,241.16 = 82,241.16/x
  3. Step 3: Cross multiply
    53,855.44x = 82,241.16 × 82,241.16
  4. Step 4: Simplify right side
    53,855.44x = 6,763,607,781.34
  5. Step 5: Solve for x
    x = 6,763,607,781.34/53,855.44
  6. Step 6: Final answer
    x = 125,588.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.