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Finding the Third Proportional to 75,594 and 166,206

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Solution

The third proportional to 75,594 and 166,206 is: 365,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,594 : 166,206 = 166,206 : x
  2. Step 2: Convert to fraction form
    75,594/166,206 = 166,206/x
  3. Step 3: Cross multiply
    75,594x = 166,206 × 166,206
  4. Step 4: Simplify right side
    75,594x = 27,624,434,436
  5. Step 5: Solve for x
    x = 27,624,434,436/75,594
  6. Step 6: Final answer
    x = 365,431.57

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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.