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Finding the Third Proportional to 75,679.13 and 166,119

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Solution

The third proportional to 75,679.13 and 166,119 is: 364,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,679.13 : 166,119 = 166,119 : x
  2. Step 2: Convert to fraction form
    75,679.13/166,119 = 166,119/x
  3. Step 3: Cross multiply
    75,679.13x = 166,119 × 166,119
  4. Step 4: Simplify right side
    75,679.13x = 27,595,522,161
  5. Step 5: Solve for x
    x = 27,595,522,161/75,679.13
  6. Step 6: Final answer
    x = 364,638.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.