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Finding the Third Proportional to 75,922 and 166,145

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Solution

The third proportional to 75,922 and 166,145 is: 363,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,922 : 166,145 = 166,145 : x
  2. Step 2: Convert to fraction form
    75,922/166,145 = 166,145/x
  3. Step 3: Cross multiply
    75,922x = 166,145 × 166,145
  4. Step 4: Simplify right side
    75,922x = 27,604,161,025
  5. Step 5: Solve for x
    x = 27,604,161,025/75,922
  6. Step 6: Final answer
    x = 363,585.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.