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Finding the Third Proportional to 54,165.75 and 79,241.25

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Solution

The third proportional to 54,165.75 and 79,241.25 is: 115,925.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,165.75 : 79,241.25 = 79,241.25 : x
  2. Step 2: Convert to fraction form
    54,165.75/79,241.25 = 79,241.25/x
  3. Step 3: Cross multiply
    54,165.75x = 79,241.25 × 79,241.25
  4. Step 4: Simplify right side
    54,165.75x = 6,279,175,701.56
  5. Step 5: Solve for x
    x = 6,279,175,701.56/54,165.75
  6. Step 6: Final answer
    x = 115,925.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.