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Finding the Third Proportional to 76,205.81 and 166,941

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Solution

The third proportional to 76,205.81 and 166,941 is: 365,710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,205.81 : 166,941 = 166,941 : x
  2. Step 2: Convert to fraction form
    76,205.81/166,941 = 166,941/x
  3. Step 3: Cross multiply
    76,205.81x = 166,941 × 166,941
  4. Step 4: Simplify right side
    76,205.81x = 27,869,297,481
  5. Step 5: Solve for x
    x = 27,869,297,481/76,205.81
  6. Step 6: Final answer
    x = 365,710.92

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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.